Question

If $sec\theta -cosec\theta =0,thenthevalueoftan\theta +cot\theta$ is

• A. 2

Answer 1

The correct option is A 2
Given:
$sec\theta -cosec\theta =0$
$\Rightarrow \frac{1}{cos\theta }-\frac{1}{sin\theta }=0$

$\Rightarrow \frac{sin\theta }{cos\theta }=1\Rightarrow tan\theta =1$

$\Rightarrow \theta ={45}^0$

$tan\theta +cot\theta =tan{45}^0+cot{45}^0$

=1+1

=2.