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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

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

cos^{2} (1)

Refine to a decimal form

= 0.29192 \dots

1 + sin^{2} (1) = 1.70807 \dots

1 + sin^{2} (1)

Refine to a decimal form

= 1.70807 \dots

The two sides are not equal

\Rightarrow False

\frac{( cot ^{2} ( x ) )}{1 + csc ( x )} = csc (x) - 1

cos (θ) = - \frac{7}{10}

sin (u) = \frac{1}{4}

tan (θ) + cot (θ) - sec (θ) csc (θ) = 0

\frac{sin ( 6 x ) - sin ( 2 x )}{cos ( 6 x ) - cos ( 2 x )} = - cot (4 x)