Is 3+3cos(x)=3csc(x) ?

The answer to whether 3+3cos(x)=3csc(x) is False

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prove 3+3cos(x)=3csc(x)

prove

3 + 3 cos (x) = 3 csc (x)

False

Solution steps

3 + 3 cos (x) = 3 csc (x)

Show that the two sides are not equal

For

3 + 3 cos (x) = 3 csc (x)

plug in

x = 1

3 + 3 cos (1) = 4.62090 \dots

3 + 3 cos (1)

Refine to a decimal form

= 4.62090 \dots

3 csc (1) = 3.56518 \dots

3 csc (1)

Refine to a decimal form

= 3.56518 \dots

The two sides are not equal

\Rightarrow False

\frac{tan ^{2} ( X )}{1 + cot ^{2} ( X )} = sin^{4} (X)

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

1 + cos (6 x) = 2 cos^{2} (3 x)

csc^{3} (x) = \frac{1}{sin ^{3} ( x )}

\frac{sec ( a )}{cot ( a ) + tan ( a )} = sin (a)