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

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

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

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

cot^{2} (1) = 0.41228 \dots

cot^{2} (1)

Refine to a decimal form

= 0.41228 \dots

csc^{2} (- 1) = 1.41228 \dots

csc^{2} (- 1)

Refine to a decimal form

= 1.41228 \dots

The two sides are not equal

\Rightarrow False

1 + sin (2 θ) = (sin (θ) + cos (θ)) 2

tan^{2} (x) - tan (x) + 1 = sec^{2} (x) - tan (x)

\frac{1 - sin ( a )}{1 + sin ( a )} = \frac{cos ( a )}{1 + sin ( a )}

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

2 tan (x^{2}) + 1 = 1