Math, asked by bhattakash612, 1 year ago

Sec theta = x +1 upon 4x
Then prove that sec theta + tan theta = 2x or 1 upon 2x

Answers

Answered by anushkaa05
6

Answer:

Step-by-step explanation:

sec∅ = x+1/4x

sec^2 ∅ = x² + 1/16x² + 1/2

1 + tan²∅ = x² + 1/16x² + 1/2

tan²∅= x² + 1/16x² + 1/2 - 1

tan²∅ = x²+1/16x² - 1/2 = (x- 1/4x)²

tan∅ =  ± x- 1/4x

sec∅ +tan∅ = x + 1/4x + x -1/4x  or  x + 1/4x - x  + 1/4x

= 2x or 2/4x

=2x or 1/2x

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