AP EAMCET · Maths · Inverse Trigonometric Functions
If then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
We know, 2tan-1x=sin-1(2x1+x2) =cos-1(1-x21+x2)=sec-1(1+x21-x2) ∴x=sin2tan-12 = sinsin-1221+22 = 45 y=cos2tan-13 = coscos-1(1-321+32) = -45 z=sec2tan-14 secsec-1(1+421-42) = -54 ∴z<y<x
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