Is csc^2(t)=cot^2(t)+1 ?

The answer to whether csc^2(t)=cot^2(t)+1 is True

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prove csc^2(t)=cot^2(t)+1

prove

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

True

Solution steps

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

Use the Pythagorean identity:

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

\Rightarrow True

2 tan (x) = 1

\frac{1}{csc ( x ) - 1} = 1 - sin (x)

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

cos (α - β) - cos (α + β) = 2 sin (α) sin (β)

tan (x) - 10 = \frac{sin ( x ) + 10}{cos ( x )}