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Popular >

simplify 9-9csc^2(x)

Solution

simplify

9 - 9 csc^{2} (x)

Solution

- 9 cot^{2} (x)

Solution steps

9 - 9 csc^{2} (x)

Use the Pythagorean identity:

csc^{2} (x) = 1 + cot^{2} (x)

csc^{2} (x) - 1 = cot^{2} (x)

= 9 (- cot^{2} (x))

Factor

9 - 9 csc^{2} (x) : 9 (1 - csc^{2} (x))

= 9 (- csc^{2} (x) + 1)

= - 9 cot^{2} (x)

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Frequently Asked Questions (FAQ)

What is 9-9csc^2(x) ?
The solution to 9-9csc^2(x) is -9cot^2(x)