Is csc^4(x)-cot^4(x)=2csc^2(x)+1 ?

The answer to whether csc^4(x)-cot^4(x)=2csc^2(x)+1 is False

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prove csc^4(x)-cot^4(x)=2csc^2(x)+1

prove

csc^{4} (x) - cot^{4} (x) = 2 csc^{2} (x) + 1

False

Solution steps

csc^{4} (x) - cot^{4} (x) = 2 csc^{2} (x) + 1

Show that the two sides are not equal

For

csc^{4} (x) - cot^{4} (x) = 2 csc^{2} (x) + 1

plug in

x = 1

csc^{4} (1) - cot^{4} (1) = 1.82456 \dots

csc^{4} (1) - cot^{4} (1)

Refine to a decimal form

= 1.82456 \dots

2 csc^{2} (1) + 1 = 3.82456 \dots

2 csc^{2} (1) + 1

Refine to a decimal form

= 3.82456 \dots

The two sides are not equal

\Rightarrow False

Is csc^4(x)-cot^4(x)=2csc^2(x)+1 ?
The answer to whether csc^4(x)-cot^4(x)=2csc^2(x)+1 is False