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Chapter 7: Q.19 (page 473)

establish each identity:csc(胃)cos(胃)

Short Answer

Expert verified

The identity can be given ascot(胃)

Step by step solution

01

Given information

We are given an expressioncsc(胃)cos(胃)

02

We use trigonometric expression csc(θ)=1sin(θ)

We get,

csc(胃)cos(胃)=1sin(胃)cos(胃)=cot(胃)

03

Conclusion

On establishing the identity we get,csc(胃)cos(胃)=cot(胃)

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Most popular questions from this chapter

In Problems 9鈥�36, find the exact value of each expression.

seccos-112

True or False : In establishing an identity, it is often easiest to just multiply both sides by a well-chosen nonzero expression involving the variable.

A rectangle is inscribed in a semicircle of radius 1. See the illustration.

Part (a): Express the area A of the rectangle as a function of the angle 胃shown in the illustration.

Part (b): Show that A胃=sin2胃.

Part (c): Find the angle 胃 that results in the largest area A.

Part (d): Find the dimensions of this largest rectangle.

Establish each identity.

sin3胃+cos3胃sin胃+cos胃=1-sin胃cos胃

In Problems 9鈥�36, find the exact value of each expression.

sectan-13
See all solutions

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