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If secA = x+1/4x...then prove secA …

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If secA = x+1/4x...then prove secA + tanA = 2x or 1/2x

Posted by Arukshita Dubey 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Arukshita Dubey 6 years, 4 months ago

Given: secA = x+1/4x secA ^2 =(x+1/4x) ^2 (Squaring both the sides) tanA^2 + 1 = x^2 + 1/16x^2 + 1/2 tanA^2 = x^2 + 1/16x^2 + 1/2 - 1 tanA^2 = x^2 + 1/16x^2 - 1/2 tanA ^2 = (x - 1/4x) ^2 tanA = x - 1/4x AS PER QUESTION : secA +tanA = x +1/4x + x - 1 /4x secA +tanA = x + x = 2x.... HENCE PROVED

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CBSE > Class 10 > Mathematics