Question 15: Solve sin (tan¯¹ x), | x | < 1 is equal to is equal to (A) x/√1-x²(B) 1/√1-x² (C) 1/√1+x² (D) x/√1+x²
Class 12 - Math - Inverse Trigonometric Functions
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Hey there!!
⇒ sin (tan^-1 x) , |x|<1
⇒ Let tan^-1 x = ∅
tan ∅ = x ⇒P/B
∴ sin ∅ = P/H ⇒ x/ √x²+1
⇒ sin∅ = x / √x²+1
i.e. option (D) is the correct answer
⇒ sin (tan^-1 x) , |x|<1
⇒ Let tan^-1 x = ∅
tan ∅ = x ⇒P/B
∴ sin ∅ = P/H ⇒ x/ √x²+1
⇒ sin∅ = x / √x²+1
i.e. option (D) is the correct answer
Answered by
1
Refer to the attachment.
Option D is correct
Option D is correct
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