Is 1-sin(x)=cos^2(x) ?

The answer to whether 1-sin(x)=cos^2(x) is False

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prove 1-sin(x)=cos^2(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

1 - sin (1) = 0.15852 \dots

1 - sin (1)

Refine to a decimal form

= 0.15852 \dots

cos^{2} (1) = 0.29192 \dots

cos^{2} (1)

Refine to a decimal form

= 0.29192 \dots

The two sides are not equal

\Rightarrow False

p ro v e 1 + cos (2 x) + 2 sin^{(2)} (x) = 2

p ro v e \frac{1}{1 + sin ( x )} + \frac{1}{1 + csc ( x )} = 1

p ro v e sin^{2} (θ) cos^{2} (θ) = 1

p ro v e 1 - 2 cos^{2} (θ) + cos^{4} (θ) = sin^{4} (θ)

p ro v e csc^{2} (θ) sec^{2} (θ) - csc^{2} (θ) = sec^{2} (θ)