Assertion (A) : (1-cosec^2 ) (1- ^2 )=1. Reason (R) : 1+ ^2 = ^2 … - Vidyadip

MCQ

Assertion (A) : $\left(1-\operatorname{cosec}^2 \theta\right)\left(1-\sec ^2 \theta\right)=1$.
Reason (R) : $1+\tan ^2 \theta=\sec ^2 \theta$ and $1+\cot ^2 \theta=\operatorname{cosec}^2 \theta$.

A
A is true, R is false.
B
A is false, R is true.
✓
Both A and R are true, and R is the correct reason for A .
D
Both A and R are true, and R is incorrect reason for A .

✓

Answer

Correct option: C.

Both A and R are true, and R is the correct reason for A .

C

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