1. If sec α + tan α = 2, then value of sin α is (assume that 0 < α < 90°)





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  • By: anil on 05 May 2019 01.53 am
    We know $$sec^2 alpha - tan^2 alpha = 1$$
    $$(sec alpha + tan alpha) (sec alpha - tan alpha) = 1$$
    $$(sec alpha - tan alpha) = frac{1}{2}$$
    $$(sec alpha + tan alpha) = 2$$
    $$sec alpha = frac{5}{4}$$
    $$cos alpha = frac{4}{5}$$
    $$sin alpha = frac{3}{5} = 0.6$$
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