CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Trigonometry
The value of $\tan ^2 \theta+\cot ^2 \theta-\sec ^2 \theta~cosec^2 \theta$ is:
2
-2
0
1/2
tan2θ + cot2θ - sec2θ . cosec2θ
Let us assume that θ = 45º
= tan245º + cot245º - sec245º . cosec245º
= 1 + 1 - ( √2 )2 . ( √2 )2
= 2 - 4
= -2