Question
Asked Jan 30, 2020
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Find all solutions of sin(x)-2cos^2(x)+1=0 on the interval [0,2*pi]

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Expert Answer

Step 1

Consider the trigonometric identity in terms of sin x and cos x.

Calculate cos^2(x) in terms of sin^2(x).

Trigonometry homework question answer, step 1, image 1
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Step 2

Now, substitute the value of cos^2(x) in terms of sin^2(x) in the given equation to obtain the quadratic equation (1) in terms of sin^2(x).

Trigonometry homework question answer, step 2, image 1
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Step 3

Let, u = sin x. Substitute u in (1) to get (2).

S...

Trigonometry homework question answer, step 3, image 1
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MathTrigonometry

Trigonometric Ratios