What is sqrt(36-(6sin(x))^2) ?

The solution to sqrt(36-(6sin(x))^2) is 6sqrt(cos^2(x))

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simplify sqrt(36-(6sin(x))^2)

simplify

36 - (6 sin (x))^{2}

6 cos^{2} (x)

Solution steps

36 - (6 sin (x))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 36 - 6^{2} sin^{2} (x)

Factor

36 - 6^{2} sin^{2} (x) : 36 (1 - sin^{2} (x))

= 36 (1 - sin^{2} (x))

Apply radical rule:

assuming

a \geq 0, b \geq 0

= 36 - sin^{2} (x) + 1

36 = 6

= 6 - sin^{2} (x) + 1

Rewrite using trig identities

= 6 cos^{2} (x)

tan (48 π + x)

sec^{2} (\frac{11}{45} π) d x

- cos (π - x)

cos (a) 2 sin (- 114 b)

tan (- 2 arctan (x^{2}))

What is sqrt(36-(6sin(x))^2) ?
The solution to sqrt(36-(6sin(x))^2) is 6sqrt(cos^2(x))