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Chapter 7: Q.9 (page 473)

Rewrite in terms of sine and cosine functions:tan胃csc胃

Short Answer

Expert verified

In terms of sine and cosine function we get,

1cos胃

Step by step solution

01

Given information

We are given an trigonometric function astan胃csc胃

02

We use trigonometric formulastan(θ)=sinθcosθcscθ=1sinθ

We get,

tan胃csc胃=sin(胃)cos(胃)1sin(胃)=1cos(胃)=sec胃

03

Conclusion

The function in terms of sine and cosine can be given as1cos胃

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Most popular questions from this chapter

Establish each identity.

sec胃-cos胃=sin胃tan胃

Establish each identity.

tan胃+cot胃=sec胃csc胃

cos(伪+尾)=cos伪cos尾_______sin伪sin尾

If x=2tan胃, express cos2胃as a function ofx.

If z=tan伪2, show that localid="1646416257885" cos伪=1-z21+z2.
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