(a) Derive the identitysec2 xtan x = 1sin x cos x(b) Use the identity sin 2x = 2 sin x

Chapter 7, Problem 33

(choose chapter or problem)

(a) Derive the identity

$\frac{\sec ^{2} x}{\tan x}=\frac{1}{\sin x \cos x}$

(b) Use the identity sin $2 x=2 \sin x \cos x$ along with the result in part (a) to evaluate $\int \csc x d x$.

Equation Transcription:

$\frac{se{c}^{2}x}{tan\ x}=\frac{1}{sin\ x\ cos\ x}$

$sin\ 2x=2\ sin\ x\ cos\ x$

$\int\limits_{\ }^{\ }csc\ x\ dx$

$cos\ x=sin[(\pi{}/2)-x]$

$sec\ x\ dx$

Text Transcription:

sex^2 x/ tan x = 1/ sin x cos x

sin2x=2 sin x cos x

Integral csc x dx

Cos x=sin[(pi/2)-x]

Sec x dx

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