Is csc^2(x)+3cot^2(x)-5=4(cot(x)-1) ?

The answer to whether csc^2(x)+3cot^2(x)-5=4(cot(x)-1) is False

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prove csc^2(x)+3cot^2(x)-5=4(cot(x)-1)

prove

csc^{2} (x) + 3 cot^{2} (x) - 5 = 4 (cot (x) - 1)

False

Solution steps

csc^{2} (x) + 3 cot^{2} (x) - 5 = 4 (cot (x) - 1)

Show that the two sides are not equal

For

csc^{2} (x) + 3 cot^{2} (x) - 5 = 4 (cot (x) - 1)

plug in

x = 1

csc^{2} (1) + 3 cot^{2} (1) - 5 = - 2.35086 \dots

csc^{2} (1) + 3 cot^{2} (1) - 5

Refine to a decimal form

= - 2.35086 \dots

4 (cot (1) - 1) = - 1.43162 \dots

4 (cot (1) - 1)

Refine to a decimal form

= - 1.43162 \dots

The two sides are not equal

\Rightarrow False

(3) \frac{( cos ( 2 z ) ) ^{2}}{2} = \frac{3 cos ( 4 z )}{4}

- 2 sin^{2} (x) + cos (x) + 1 = 0

\frac{2 cot ( u )}{csc ^{2} ( u ) - 2} = tan (2 u)

csc (2 x) + cot (2 x) = \frac{1 + cos ( 2 x )}{sin ( 2 x )}

1 - 2 sin^{2} (t) = 2 cos^{2} (t) - 1

Is csc^2(x)+3cot^2(x)-5=4(cot(x)-1) ?
The answer to whether csc^2(x)+3cot^2(x)-5=4(cot(x)-1) is False