S3 Chapter 9 Trigonometric Relations

 $4\sin60\degree-\sqrt{3}=$  

• 0

•  $\sqrt{3}$  

•  $2\sqrt{3}$  

•  $3\sqrt{3}$  

If $2\cos\theta=\sqrt{2}$   , where θ is an acute angle,  then θ =

•  $15\degree$  

•  $30\degree$  

•  $45\degree$  

•  $60\degree$  

Find θ in the figure.

• $30\degree$

• $45\degree$

• $60\degree$

• $75\degree$

Given that $2\sin\theta=\cos\theta$ , where θ is an acute angle, find the value of  $\tan\theta$  .

•  $\frac{1}{2}$  

• 1

• 2

•  $\frac{10}{3}$  

 $\frac{\cos\theta}{\cos\left(90\degree-\theta\right)}=$  

•  $\tan\theta$  

•  $-\tan\theta$  

•  $\frac{1}{\tan\theta}$  

•  $-\frac{1}{\tan\theta}$  

 $\tan\theta\sin\left(90\degree-\theta\right)=$  

•  $\sin\theta$  

•  $\cos\theta$  

•  $\frac{\sin^2\theta}{\cos\theta}$  

•  $\frac{\cos\theta}{\sin^2\theta}$  

If $\frac{1}{\tan\theta}=\tan36\degree$  , find the acute angle θ. 

•  $36\degree$  

•  $44\degree$  

•  $54\degree$  

•  $64\degree$  

Which of the following are trigonometric identities?

• I and II ony

• I and III only

• II and III only

• I, II and III

Find the value of $\frac{\tan^260\degree}{\sin45\degree}$  .

•  $\frac{\sqrt{2}}{3}$  

•  $\frac{\sqrt{6}}{2}$  

•  $\sqrt{2}$  

•  $3\sqrt{2}$  

If $\sin\theta\tan60\degree=\cos30$  , where θ is an acute angle, then θ =

•  $20\degree.$  

•  $30\degree.$  

•  $45\degree.$  

•  $60\degree.$