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Chapter 7: Q. 93 (page 496)

In Problems 91-93, find the real zeros of each trigonometric function on the interval0鈮�胃<2蟺

Short Answer

Expert verified

The real zeroes arex=蟺2,3蟺2

Step by step solution

01

Given information

Given functionf(x)=cos(2x)+sin2x

02

Using trigonometric identity and calculate

Using, we get

cos2x+sin2x=01-2sin2x+sin2x=01-sin2x=0卤1=sinxx=蟺2,x=3蟺2

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Most popular questions from this chapter

Establish each identity.

sin胃+cos胃sin胃-cos胃-sin胃cos胃=sec胃csc胃

Sawtooth Curve An oscilloscope often displays a sawtooth curve. This curve can be approximated by sinusoidal curves of varying periods and amplitudes. A first approximation to the sawtooth curve is given by

y=12sin(2蟺x)+14sin(4蟺x)

Show thaty=sin(2蟺x)cos2(蟺x)

Show thatcos蟺8=2+22and use it to findsin蟺16,cos蟺16.

Find the value of the number C:

12sin2x+C=-14cos2x

tan2胃-sec2胃
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