Question:
Find the value of
2⁻¹(1)/(5)+⁻¹(1)/(2)+2⁻¹(1)/(8)
Find the value of
2⁻¹(1)/(5)+⁻¹(1)/(2)+2⁻¹(1)/(8)
Show Hint
Use tangent sum identities stepwise.
Updated On: Mar 17, 2026
- π/4
- π/2
- 3π/4
- None of these
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The Correct Option is B
Solution and Explanation
Using identity:
2⁻¹x=⁻¹(2x)/(1-x²)
2⁻¹\frac15=⁻¹(5)/(12),
2⁻¹\frac18=⁻¹(16)/(63)
Now:
⁻¹(5)/(12)+⁻¹\frac12+⁻¹(16)/(63)
=⁻¹(1)=(π)/(2)
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