Question
Question: \(1 + \cot ^ { 2 } \left( \sin ^ { - 1 } x \right) =\)...
1+cot2(sin−1x)=
A
2x1
B
x2
C
x21
D
x2
Answer
x21
Explanation
Solution
Let sin−1x=θ⇒sinθ=x
Now 1+cot2θ=cosec2θ=x21
Hence 1+cot2(sin−1x)=x21.
1+cot2(sin−1x)=
2x1
x2
x21
x2
x21
Let sin−1x=θ⇒sinθ=x
Now 1+cot2θ=cosec2θ=x21
Hence 1+cot2(sin−1x)=x21.