TRIGONOMETRY RT

 $\cos^4\alpha+\sin^4\alpha\ =?$  

•  $\sin^2\alpha\ +\cos2\alpha$  
  

•  $\cos^2\alpha-\sin^2\alpha$  
  

•  $2\cos^2\alpha$  
  

•  $Sin^2\alpha$  

In term of $\sec⁡θ,\sinθ=?$ 

•  $\sqrt{1-\sec^2\theta}$  

•  $\frac{\sec\theta}{1-\sec^2\theta}$  

•  $\frac{\sqrt{\sec\theta}}{1-\sec^2\theta}$  

•  $\frac{\sqrt{\sec^2\theta-1}}{\sec\theta}$  

Tags

CCSS.HSF.TF.C.8

If $\ Tan\theta=\frac{8}{15}$  and the terminal arm of the angle is in the III quadrant then  $\operatorname{cosec}\theta=$  

•  $-\frac{17}{8}$  

•  $-\frac{8}{17}$  

•  $-\frac{15}{17}$  
  

•  $\frac{15}{8}$  
  

Tags

CCSS.HSF.TF.A.2

If $\sin⁡(x-30^o)=\cos⁡(2x-60^o)\ then\ x=$  

•  $30\degree$  

•  $60\degree$  

•  $90\degree$  

•  $120\degree$  

Tags

CCSS.HSF.TF.C.9

Range of $y=\cos\theta+\sin\theta\ is\ ;$  

• (-1, 1)

• [-1, 1]
  

• [-2, 2]
  

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

  
  

Tags

CCSS.HSF-BF.B.4A

If $\sin⁡\left(\frac{\phi}{2}\right)=-\frac{1}{4},\ then\ \cos\ \phi=$  

•  $\frac{1}{8}$  

•  $\frac{3}{8}$  

•  $\frac{5}{8}$  

•  $\frac{7}{8}$  

Tags

CCSS.HSF.TF.C.9

Period of $y=3+2\tan⁡(x-9)$  i

•  $\frac{\pi}{9}$  

•  $\frac{1}{\pi}$  

•  $\frac{9}{\pi}$  

• None

Period of  $y=2+3\cos⁡(4x+9);$  

•  $\frac{\pi}{9}$  

•  $\frac{1}{\pi}$  
  

•  $\frac{9}{\pi}$  

• None

Tags

CCSS.HSF-IF.C.7E

Which of the following function has same period as y = tan3x

• $y=\sin\frac{2x}{3}$

• $y=\cos\frac{3x}{2}$

• $y=\operatorname{cosec}3x$

• $y=\sec⁡6x$

The graph of  $y=\cos⁡2x,\ crosses\ x-axis\ at\ x=$ 

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{8}$  

•  $\frac{\pi}{16}$  

Tags

CCSS.HSF-IF.C.7E