How do you simplify $\frac{1 + tan (x)}{sec (x)}$ $(1 + tan(x)) / sec(x)$ ?

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How do you simplify $\frac{1 + tan (x)}{sec (x)}$ $(1 + tan(x)) / sec(x)$ ?

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Answer 1 · 2015-07-30T04:02:12

Simplify: $\frac{1 + tan x}{sec x}$ $(1 + tan x)/sec x$

Ans: cos x + sin x

Explanation:

$\frac{1 + \frac{sin x}{cos x}}{\frac{1}{cos x}} = (\frac{cos x + sin x}{cos x}) (\frac{cos x}{1}) = cos x + sin x$ $(1 + sin x/cos x)/(1/cos x) = ((cos x + sin x)/cos x)(cos x/1) = cos x + sin x$

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How do you simplify $\frac{1 + tan (x)}{sec (x)}$ $(1 + tan(x)) / sec(x)$ ?

1 Answer

Explanation:

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How do you simplify (1 + tan(x)) / sec(x)1+tan(x)sec(x)(1 + tan(x)) / sec(x)?

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How do you simplify $\frac{1 + tan (x)}{sec (x)}$ $(1 + tan(x)) / sec(x)$ ?