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Popular >

simplify 3cos^2(x)-3

Solution

simplify

3 cos^{2} (x) - 3

Solution

- 3 sin^{2} (x)

Solution steps

3 cos^{2} (x) - 3

Use the Pythagorean identity:

1 = cos^{2} (x) + sin^{2} (x)

1 - cos^{2} (x) = sin^{2} (x)

= 3 (- sin^{2} (x))

Factor

3 cos^{2} (x) - 3 : 3 (cos^{2} (x) - 1)

= 3 (cos^{2} (x) - 1)

= - 3 sin^{2} (x)

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Frequently Asked Questions (FAQ)

What is 3cos^2(x)-3 ?
The solution to 3cos^2(x)-3 is -3sin^2(x)