Is tan(1/2 x)+cos(1/2 x)=2csc(x) ?

The answer to whether tan(1/2 x)+cos(1/2 x)=2csc(x) is False

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prove tan(1/2 x)+cos(1/2 x)=2csc(x)

prove

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

False

Solution steps

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

Show that the two sides are not equal

For

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

plug in

x = 1

tan (\frac{1}{2} \cdot 1) + cos (\frac{1}{2} \cdot 1) = 1.42388 \dots

tan (\frac{1}{2} \cdot 1) + cos (\frac{1}{2} \cdot 1)

Refine to a decimal form

= 1.42388 \dots

2 csc (1) = 2.37679 \dots

2 csc (1)

Refine to a decimal form

= 2.37679 \dots

The two sides are not equal

\Rightarrow False

sin (θ) \frac{cos ^{2} ( θ )}{sin ( θ )} = csc (θ)

\frac{tan ^{2} ( a ) + 1}{sec ( a )} = sec (a)

3 sin^{2} (2 x) \frac{1}{2} = \frac{3 cos ( 4 x )}{4}

sin (3 x) = 3 sin (x) cos^{2} (x) - sin^{2} (x)

cos (θ) - cos^{3} (θ) = sin^{2} (cos (θ))

Is tan(1/2 x)+cos(1/2 x)=2csc(x) ?
The answer to whether tan(1/2 x)+cos(1/2 x)=2csc(x) is False