Is (2-sin^2(x))csc^2(x)=cot^2(x) ?

The answer to whether (2-sin^2(x))csc^2(x)=cot^2(x) is False

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prove (2-sin^2(x))csc^2(x)=cot^2(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

(2 - sin^{2} (1)) csc^{2} (1) = 1.82456 \dots

(2 - sin^{2} (1)) csc^{2} (1)

Refine to a decimal form

= 1.82456 \dots

cot^{2} (1) = 0.41228 \dots

cot^{2} (1)

Refine to a decimal form

= 0.41228 \dots

The two sides are not equal

\Rightarrow False

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1 + sin (θ) = cos (θ)

1 + \frac{( tan ^{2} ( x ) )}{1 + sec ( x )} = sec (x)

\frac{sin ( 4 x )}{4} = \frac{sin ( x ) cos ( x )}{4}

Is (2-sin^2(x))csc^2(x)=cot^2(x) ?
The answer to whether (2-sin^2(x))csc^2(x)=cot^2(x) is False