Simplify the following trig expressions. Show ALL WC[(csc.x+ 1)(cscx- 1)]cos'rsecvSin xSinYCOS.Y

Answered: Simplify the following trig…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter72: Oblique Triangles

Section: Chapter Questions

Problem 28A: Solve the following exercises using the Law of Cosines. Find x. All dimensions are in inches.

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Simplify the following trig expressions. Show ALL WC
[(csc.x+ 1)(cscx- 1)]
cos'r
secv
Sin x
SinY
COS.Y

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Given:

The given trigonometric expression is

$\frac{[(\csc x + 1) (\csc x - 1)]}{\cos^{2} x}$

Formula used:

Basic algebraic formula:

$(a - b) (a + b) = a^{2} - b^{2}$

Trigonometric identity:

$\csc^{2} x - 1 = \cot^{2} x$ , $\cot x = \frac{\cos x}{\sin x}$ and $\frac{1}{\sin x} = \csc x$ .

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