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Popular >

simplify 7sin^2(x)-7

Solution

simplify

7 sin^{2} (x) - 7

Solution

- 7 cos^{2} (x)

Solution steps

7 sin^{2} (x) - 7

Use the Pythagorean identity:

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

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

= 7 (- cos^{2} (x))

Factor

7 sin^{2} (x) - 7 : 7 (sin^{2} (x) - 1)

= 7 (sin^{2} (x) - 1)

= - 7 cos^{2} (x)

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Frequently Asked Questions (FAQ)

What is 7sin^2(x)-7 ?
The solution to 7sin^2(x)-7 is -7cos^2(x)