Is sin^2(x)+sin^2(θ)=1 ?

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

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prove sin^2(x)+sin^2(θ)=1

prove

sin^{2} (x) + sin^{2} (θ) = 1

False

Solution steps

sin^{2} (x) + sin^{2} (θ) = 1

Show that the two sides are not equal

For

sin^{2} (x) + sin^{2} (θ) = 1

plug in

x = 0

For

sin^{2} (x) + sin^{2} (θ) = 1

plug in

θ = 1

sin^{2} (0) + sin^{2} (1) = 0.70807 \dots

sin^{2} (0) + sin^{2} (1)

Refine to a decimal form

= 0.70807 \dots

The two sides are not equal

\Rightarrow False