Evaluate tan[sec^(−1)sqrt(1+x^2)] A. 1/x B. x C. 1/sqrt(1+x^2) D. x/sqrt(1+x^2)

Bradyn Cherry

Bradyn Cherry

Answered question

2022-12-23

Evaluate tan[sec-11+x2]
A. 1x

B. x
C. 11+x2
D. x1+x2

Answer & Explanation

Toparellon12

Toparellon12

Beginner2022-12-24Added 8 answers

Explanation
Given, tan[sec-11+x2]
Putting x=tanθ In the expression above, we find,
tan[sec-11+tan2(θ)]
tan[sec-1sec(θ)]1+tan2(θ)=sec2(θ)
tanθx
Thus, the significance oftan[sec-11+x2] is x.
Hence, the correct answer is Option (B).

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