Trigonometric function

Trigonometric functions

Multiple Choice

cos(2θ) = sin(θ)

• θ = π + 2πn, 5π + 2πn and 3π/2 + πn

• θ = π/6 + 2πn, 5π/6 + 2πn and 3π/2 + 2πn

• θ = π/6 + 2πn, and 3π/2 + 2πn

• θ = π/3 + 2πn, and π/2 + 2πn

Multiple Choice

$$y=\ 3\ \sin\left(4x\right)\ +1$$  

find the graph of the function

Multiple Choice

$$y=\ \frac{1}{2}\sin\ x\ -1$$  

Multiple Choice

$$\cos\ \left(315^o\right)$$  

• $$-\frac{1}{\sqrt{2}}$$  

• $$\frac{1}{2}$$  

• $$\frac{1}{\sqrt{2}}$$  

• $$-\frac{1}{2}$$  

Multiple Choice

$$\tan\left(360-\theta\right)=$$  

• $$\cot\ \theta$$  

• $$\tan\ \theta$$  

• $$-\tan\ \theta$$  

• $$-\cot\ \theta$$  

Invere Trigonometric function

Multiple Select

• 1

• 2

• 3

• 4

Multiple Choice

Which can be a restriction for the domain of y = sin x so the inverse sine can be a function?

• $$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$$

• $$\left[0,\ \pi\right]$$

• $$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$$

• $$\left[0,\ 2\pi\right]$$

Multiple Choice

Which can be a restriction for the domain of y = cos x so the inverse cosine can be a function?

• $$\left[-\frac{\pi}{2},\ \frac{\pi}{2}\right]$$

• $$\left[0,\ \pi\right]$$

• $$\left(-\frac{\pi}{2},\ \frac{\pi}{2}\right)$$

• $$\left[0,\ 2\pi\right]$$

Multiple Choice

Find the exact value of $$\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)$$ . 

• $$\frac{\pi}{6}$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{2\pi}{3}$$  

• $$\frac{5\pi}{6}$$  

Multiple Choice

Find the exact value of $$\sin^{-1}\left(-\frac{1}{2}\right)$$ . 

• $$\frac{\pi}{6}$$  

• $$-\frac{\pi}{4}$$  
  

• $$\frac{\pi}{4}$$  
  

• $$-\frac{\pi}{6}$$