Mathematics · Inverse Trigonometric Functions
Find the simplified value of tan-1[(√(1+x2) + √(1-x2)) / (√(1+x2) - √(1-x2))] for 0 < |x| < 1/√2.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1π/4 - cos-1(x2)
- 2π/4 - (1/2)cos-1(x2)✓
- 3π/4 + cos-1(x2)
- 4π/4 + (1/2)cos-1(x2)
Correct answer
π/4 - (1/2)cos-1(x2)
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