Is cot^2(x)+csc^2(x)=2csc^2(x) ?

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

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prove cot^2(x)+csc^2(x)=2csc^2(x)

prove

cot^{2} (x) + csc^{2} (x) = 2 csc^{2} (x)

False

Solution steps

cot^{2} (x) + csc^{2} (x) = 2 csc^{2} (x)

Show that the two sides are not equal

For

cot^{2} (x) + csc^{2} (x) = 2 csc^{2} (x)

plug in

x = 1

cot^{2} (1) + csc^{2} (1) = 1.82456 \dots

cot^{2} (1) + csc^{2} (1)

Refine to a decimal form

= 1.82456 \dots

2 csc^{2} (1) = 2.82456 \dots

2 csc^{2} (1)

Refine to a decimal form

= 2.82456 \dots

The two sides are not equal

\Rightarrow False

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

sin (3 θ) + sin (θ) = 2 sin (2 θ) cos (θ)

2 sin (x) \cdot cos (x) = sin (2 x)

cos^{2} (2 t) = (cos (2 t))^{2}

5 \cdot 2 = 5 + 5

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