Trigonometry class 11

find degree measure of

7 $\pi$   /6

• 200 $\degree$  

• 210 $\degree$  

• 300 $\degree$  

• 310 $\degree$  

 $Cot\left(-\frac{15\pi}{4}\right)$  

find the value

• 1

• 2

• 5

•  $\infty$  

 $\sin\ x=\frac{3}{5}$  x lies in second quadrant. find value of  $\cos\ x$  

•  $\frac{4}{5}$  

•  $-\frac{4}{5}$  

•  $\frac{2}{5}$  

•  $-\frac{2}{5}$  

 $\operatorname{cosec}\ x\ =\ -2$  

principal solutions of equation

•  $-\frac{5\pi}{6}$  , $-\frac{11\pi}{6}$  

•  $\frac{5\pi}{6}$  , $\frac{11\pi}{6}$  

•   $-\frac{7\pi}{6}$  ' $-\frac{11\pi}{6}$  

•  $\frac{7\pi}{6}$  , $\frac{11\pi}{6}$  

If  $\sin\theta+\operatorname{cosec}\theta=2$ , then $\sin^2\theta+\operatorname{cosec}^2\theta$    is equal to 

• 1

• 4

• 2

• none of these

If $\tan\theta=\frac{1}{2}\ and\ \ \tan\phi=\frac{1}{3},$  then the value of 

 $\theta+\phi$  is 

•  $\frac{\pi}{6}$  

•  $\pi$  

•  $0$  

•  $\frac{\pi}{4}$  

Which of the following is not correct ?

• 
  

  $\sin\theta=-\frac{1}{5}$
  

• $\cos\theta=1$

• $\sec\theta=\frac{1}{2}$

• $\tan\theta=20$

The value of $\tan1\degree\ .\ \tan2\degree\ .\ \tan3\degree\ .\ ......\ .\ \tan89\degree$ is  

• 0

• 1

•  $\frac{1}{2}$  

• none of these

 $The\ value\ of\frac{1-\tan^215\degree}{1+\tan^215\degree}\ is$  

•  $1$  

•  $\sqrt{3}$  

•  $\frac{\sqrt{3}}{2}$  

•  $2$  

 $The\ value\ of\ \cos1\degree.\cos2\degree.\cos3\degree.\ \ ...\ \ .\ \cos179\degree\ is$  

•  $\frac{1}{\sqrt{2}}$  

•  $0$  

•  $1$  

•  $-1$