# Mark the correct alternative in the following:If tan θ + sec θ = ex, then cos θ equalsA. B. C. D.

We know tan2x + 1 = sec2x…(1)

Let tan θ be a and sec θ be b

According to question

a + b =ex

Manipulating and Substituting in 1 we get

a2 – b2 = -1

(a-b)( a + b) = -1

(a-b).ex =-1

a-b = -e-x

a + b =ex

a-b = -e-x

subtracting above equations we get

2b =ex +e-x

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