prove csc(x)=2

Solution

prove

csc (x) = 2

False

Solution steps

csc (x) = 2

Show that the two sides are not equal

For

csc (x) = 2

plug in

x = 1

csc (1) = 1.18839 \dots

csc (1)

Refine to a decimal form

= 1.18839 \dots

The two sides are not equal

\Rightarrow False

sin (x) csc^{2} (x) = \frac{1}{sin ( x )}

\frac{cos ( 2 θ )}{cos ^{2} ( θ )} = 1 - tan^{2} (θ)

\frac{( sec ( θ ) - tan ( θ ) ) ^{2} + 1}{csc ( θ ) ( sec ( θ ) - tan ( θ ) )} = 2 tan (θ)

2 csc (2 x) = sec (x) csc (x)

(tan (θ + 1)) = sec (θ)