Evaluate the integral. 1-– sin xScos x

We have to evaluate the integral: ∫1-sinxcosxdx We will use following special integration formula:…

Answered: 1- – sin x S cos x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.3: The Addition And Subtraction Formulas

Problem 10E

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Evaluate the integral.

Expert Solution

Step 1

We have to evaluate the integral:

$\int \frac{1 - \sin x}{\cos x} d x$

We will use following special integration formula:

$\begin{array}{rcl} \int s e c x d x & = & \log |s e c x + \tan x| + c \\ \int \tan x d x & = & \log |s e c x| + c \end{array}$

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Solve for x: z=x.

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