Is 4-sin^2(x)=-(sin(x)+2)(sin(x)-2) ?

The answer to whether 4-sin^2(x)=-(sin(x)+2)(sin(x)-2) is True

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prove 4-sin^2(x)=-(sin(x)+2)(sin(x)-2)

prove

4 - sin^{2} (x) = - (sin (x) + 2) (sin (x) - 2)

True

Solution steps

4 - sin^{2} (x) = - (sin (x) + 2) (sin (x) - 2)

Manipulating right side

- (sin (x) + 2) (sin (x) - 2)

Expand

- (- 2 + sin (x)) (2 + sin (x)) : - sin^{2} (x) + 4

= 4 - sin^{2} (x)

We showed that the two sides could take the same form

\Rightarrow True

sec^{2} (x) cot (x) + cot (x) = tan (x)

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

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

1 - sin (r) = sec (r)

25 \cdot sec^{2} (5 x) = 25 + (5 tan (5 x))^{2}

Is 4-sin^2(x)=-(sin(x)+2)(sin(x)-2) ?
The answer to whether 4-sin^2(x)=-(sin(x)+2)(sin(x)-2) is True