Is sqrt(81-9(3sin(x))^2)=12csc(x) ?

The answer to whether sqrt(81-9(3sin(x))^2)=12csc(x) is False

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prove sqrt(81-9(3sin(x))^2)=12csc(x)

prove

81 - 9 (3 sin (x))^{2} = 12 csc (x)

False

Solution steps

81 - 9 (3 sin (x))^{2} = 12 csc (x)

Show that the two sides are not equal

For

81 - 9 (3 sin (x))^{2} = 12 csc (x)

plug in

x = 1

81 - 9 (3 sin (1))^{2} = 4.86272 \dots

81 - 9 (3 sin (1))^{2}

Refine to a decimal form

= 4.86272 \dots

12 csc (1) = 14.26074 \dots

12 csc (1)

Refine to a decimal form

= 14.26074 \dots

The two sides are not equal

\Rightarrow False

2 cos^{2} (x) tan (x) = sin (2 x)

cos^{2} (θ) + cot^{2} (θ) cos^{2} (θ) = cot^{2} (θ)

\frac{sec ^{2} ( a )}{2 - sec ^{2} ( a )} = sec (2 a)

cot (a) + tan (a) = csc (a) sec (a)

\frac{2 sin ( x )}{cos ^{2} ( x )} = 2 sec (x) tan (x)

Is sqrt(81-9(3sin(x))^2)=12csc(x) ?
The answer to whether sqrt(81-9(3sin(x))^2)=12csc(x) is False