# Sin theta = -1

Solve for ? sin(3theta)=-1. Take the inverse sine of both sides of the equation to extract from inside the sine. The exact value of is . Divide each term by and simplify.

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history The first shows how we can express sin θ in terms of cos θ; the second shows how we can express cos θ in terms of sin θ. Note: sin 2 θ-- "sine squared theta" -- means (sin θ) 2. Problem 3. A 3-4-5 triangle is right-angled.

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Weekly Subscription $1.99 USD per week until cancelled Monthly Subscription $4.99 USD per month until cancelled Annual Subscription $29.99 USD per year until cancelled our channel provide easy and simple solutions of maths and science problems. so guys join our channel subscribe it.Send your maths and science problems direc Sine, tangent, cotangent and cosecant in mathematics an identity is an equation that is always true. Meanwhile trigonometric identities are equations that involve trigonometric functions that are always true. Inside x^2+(y-1)^2=1 \implies x^2+y^2-2y+1<1 \implies\rho^2-2\rho \sin \theta<0\implies \rho<2 \sin \theta Outside x^2+y^2=1 \implies x^2+y^2>1 \implies\rho^2>1 Theta is equal to zero, theta is equal to, well we've gotta go all the way again to two pi, two pi, but then it just keeps going on and on, and it makes sense. Theta equaled, or sorry, cosine of theta, the x-coordinate on this unit circle equaled one right when we were at zero angle, and we had to go all the way around the circle to get back to Jan 31, 2018 · Important note: There is a big difference between csc θ and sin-1 θ. The first one is a reciprocal: `csc\ theta=1/(sin\ theta)`.

## Find an answer to your question if sin theta + cos theta =root 3 then prove that tan theta + cot thera = 1 Cupcake11 Cupcake11 11.02.2018 Math Secondary School

Get help on the web or with our math app. Weekly Subscription $1.99 USD per week until cancelled Monthly Subscription $4.99 USD per month until cancelled Annual Subscription $29.99 USD per year until cancelled our channel provide easy and simple solutions of maths and science problems.

### ⇒ sin x (2 sin x + 3) - 1(2 sin x + 3) = 0 ⇒ (2 sin x + 3) (sin x - 1) = 0. Therefore, either, 2 sin x + 3 = 0 ⇒ sin x = - \(\frac{3}{2}\), Which is impossible since the numerical value of sin x cannot be greater than 1. or, sin x - 1 = 0 ⇒ sin x = 1 . We know that the general solution of sin θ = 1 is θ = (4n + 1)\(\frac{π}{2}\), n

Online calculator for sin -1 (x) Note. Enter the value of x and unit in order to calculate inverse sine values No no , it's not the truth . [math]\frac{\sin\theta}{\theta}≠ 1[/math] But the real one is [math]\displaystyle\lim_{\theta\rightarrow 0}\frac{\sin\theta}{\theta}=1 Important note: There is a big difference between csc θ and sin-1 θ. The first one is a reciprocal: `csc\ theta=1/(sin\ theta)`. The second one involves finding an angle whose sine is θ. So on your calculator, don't use your sin-1 button to find csc θ. We will meet the idea of sin-1 θ in the next section, Values of Trigonometric Functions.

Jan 15, 2017 Feb 19, 2016 Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly.

Problem 3. A 3-4-5 triangle is right-angled. a) Why? To see the answer, pass your mouse over the colored area. To cover the answer again, click "Refresh" ("Reload").

Solve for ? sin(3theta)=-1. Take the inverse sine of both sides of the equation to extract from inside the sine. The exact value of is . Divide each term by and simplify. theta=pi/2+-n2pi where n is a natural number Let's look at a graph of sintheta: graph{sinx [-6.25, 6.25, -2, 2]} This is sintheta with -2pi < theta < 2pi We can see that sintheta=1 at pi/2 and will repeat each cycle of the graph. And so the answer is: theta=pi/2+-n2pi where n is a natural number Theta is equal to zero, theta is equal to, well we've gotta go all the way again to two pi, two pi, but then it just keeps going on and on, and it makes sense.

(These are less treacherous than inequalities.) The quantity $\frac{1+\sin\theta}{\cos \theta}-1$ can only change sign at a singularity ($\pi/2$ and $3\pi/2$) and where $\frac{1+\sin \theta}{\cos \theta}=1$. Write the Value of `(Sin^2 Theta 1/(1+Tan^2 Theta))`. CBSE CBSE Class 10. Question Papers 886. Textbook Solutions 17467. Important Solutions 3114. Question Bank Solutions 20857.

[math]1 - \cos\theta = 2\sin^2\cfrac{\theta}{2}[/math] If you want to forcefully apply the same formula, you could replace th Inside x^2+(y-1)^2=1 \implies x^2+y^2-2y+1<1 \implies\rho^2-2\rho \sin \theta<0\implies \rho<2 \sin \theta Outside x^2+y^2=1 \implies x^2+y^2>1 \implies\rho^2>1 Weekly Subscription $1.99 USD per week until cancelled Monthly Subscription $4.99 USD per month until cancelled Annual Subscription $29.99 USD per year until cancelled our channel provide easy and simple solutions of maths and science problems. so guys join our channel subscribe it.Send your maths and science problems direc sin(theta) Extended Keyboard; Upload; Examples; Random; Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… Wolfram|Alpha brings expert-level knowledge and Jan 31, 2018 τ = I α − ℓ m g sin θ = m ℓ 2 θ ¨ θ ¨ + g ℓ sin θ = 0, \tau = I \alpha \implies -\ell mg \sin \theta = m\ell^2 \ddot{\theta} \implies \ddot{\theta} + \frac{g}{\ell} \sin \theta = 0, τ = I α − ℓ m g sin θ = m ℓ 2 θ ¨ θ ¨ + ℓ g sin θ = 0, where θ \theta θ is the angle between the string and the vertical. I can give you a better way - We know that \sin(2\theta)=2*\sin(\theta)\cos(\theta) So, multiplying both the given equations, we get \sin(2\theta)=2(3-1)\over{8}=1\over 2 2\theta=5\pi\over 6 ⇒ sin x (2 sin x + 3) - 1(2 sin x + 3) = 0 ⇒ (2 sin x + 3) (sin x - 1) = 0. Therefore, either, 2 sin x + 3 = 0 ⇒ sin x = - \(\frac{3}{2}\), Which is impossible since the numerical value of sin x cannot be greater than 1.

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### No no , it's not the truth . [math]\frac{\sin\theta}{\theta}≠ 1[/math] But the real one is [math]\displaystyle\lim_{\theta\rightarrow 0}\frac{\sin\theta}{\theta}=1

Theta equaled, or sorry, cosine of theta, the x-coordinate on this unit circle equaled one right when we were at zero angle, and we had to go all the way around the circle to get back to The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions. Their usual abbreviations are sin(θ), cos(θ) and tan(θ), respectively, where θ denotes the angle. Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly.

## 빨간색 파선을 사용하여 단순한 극좌표 플롯을 생성합니다. theta = 0:0.01:2*pi; rho = sin(2*theta).*cos(2*theta);

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history The first shows how we can express sin θ in terms of cos θ; the second shows how we can express cos θ in terms of sin θ. Note: sin 2 θ-- "sine squared theta" -- means (sin θ) 2. Problem 3. A 3-4-5 triangle is right-angled. a) Why? To see the answer, pass your mouse over the colored area.

So on your calculator, don't use your sin-1 button to find csc θ. We will meet the idea of sin-1 θ in the next section, Values of Trigonometric Functions. \(\sin \theta\) = y/1 Start measuring the angles from the first quadrant and end up with 90° when it reaches the positive y-axis. Now the value of y becomes 1 since it touches the circumference of the circle. Finding the Derivative of Inverse Sine Function, $\displaystyle{\frac{d}{dx} (\arcsin x)}$ Suppose $\arcsin x = \theta$. Then it must be the cases that Simplify the trigonometric expression. 1 / (1 + sin theta) + 1 / (1 - sin theta).