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Popular >

simplify 5cos^2(x)-5

Solution

simplify

5 cos^{2} (x) - 5

Solution

- 5 sin^{2} (x)

Solution steps

5 cos^{2} (x) - 5

Use the Pythagorean identity:

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

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

= 5 (- sin^{2} (x))

Factor

5 cos^{2} (x) - 5 : 5 (cos^{2} (x) - 1)

= 5 (cos^{2} (x) - 1)

= - 5 sin^{2} (x)

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Frequently Asked Questions (FAQ)

What is 5cos^2(x)-5 ?
The solution to 5cos^2(x)-5 is -5sin^2(x)