trigo 2 lec 9 10

DOMAIN OF sinx is

• $x\in\Phi$

• $x\in R$

• $-1\le x\le1$

• $-1\le y\le1$

range of cosx

• $\cos x\in R$

• $\cos x\in\left[-1,1\right]$

• none of the above

• $x\in R$

domain of tanx is

• $x\in R$

• $x\in\left[-\infty,\infty\right]$

• $x\in R-\left\{\left(2n+1\right)\left(\frac{\pi}{2}\right),n\in I\right\}$

• ALL OF THE ABOVE

 $\operatorname{cosec}\theta+\cot\theta=$  

•  $\sin\theta+\tan\theta$  

•  $\frac{1}{\left(\operatorname{cosec}\theta-\cot\theta\right)}$  

•  $\operatorname{cosec}^2\theta-\cot^2\theta$  

• none 

 $\sec\theta-\tan\theta\ \ \ is\ \ \ reciprocal\ \ \ \ of\ \frac{1}{\sec\theta+\tan\theta}$  

• true

• false

period of sinx ,cosx , secx, cosecx is

• $\pi$

• $\frac{\pi}{2}$

• $\frac{3\pi}{2}$

• $2\pi$

 $2\pi$  is the period of period of tanx , cotx 

this statement is incorrect

• true

• false

 $\sin^4\theta+\cos^4\theta=$  

• 1

•  $2\sin^2\theta+2\cos^2\theta$  

•  $\sin^4\theta-\cos^4\theta$  

•  $1-2\sin^2\theta\cos^2\theta$  

 $statement1:_{ }\sin^6\theta+\cos^6\theta=1-3\sin^2\theta\cos^2\theta\$   $\ statement\ 2:\ \sin^4\theta+\cos^4\theta=1+2\sin^2\theta\cos^2\theta$  

• both statement are right 

• only statement 1 is right

• only statement 2 is right 

• both are wrong

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