InterviewSolution
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InterviewSolution
| 1. |
If sec θ+ tan θ = x, then sec θ = |
| Answer» Given:sec θ + tan θ = xTo find:Sec θ = ?Solution:sec θ + tan θ = x --- eq 1sec θ = x - tan θSquaring both sides - sec θ = x² - 2x² tan θ + tan²θsec² θ - tan² θ = x - 2xtan θ1 = x² - 2xtan θtan θ = x² - 1/2xSubstituting value in eq 1 sec θ + x² -1/2x = xsec θ = x² - x-1/2x = 2x² - x² +1/2xsec θ = x² + 1/2xAnswer : The value of sec θ = x² + 1/2x | |