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If sec θ+ tan θ = …

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If sec θ+ tan θ = x, then sec θ =

Posted by Suraj Rajput 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

Given:

sec θ + tan θ = x

To find:

Sec θ = ?

Solution:

sec θ + tan θ = x --- eq 1

sec θ = x - tan θ

Squaring both sides -

sec θ = x² - 2x² tan θ + tan²θ

sec² θ - tan² θ = x - 2xtan θ

1 = x² - 2xtan θ

tan θ = x² - 1/2x

Substituting value in eq 1

sec θ + x² -1/2x = x

sec θ = x² - x-1/2x

= 2x² - x² +1/2x

sec θ = x² + 1/2x

Answer : The value of sec θ = x² + 1/2x

3Thank You

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CBSE > Class 10 > Mathematics