Is sin(2x)=2(cos(x))/(csc(x)) ?

The answer to whether sin(2x)=2(cos(x))/(csc(x)) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sin(2x)=2(cos(x))/(csc(x))

prove

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

True

Solution steps

sin (2 x) = 2 \cdot \frac{cos ( x )}{csc ( x )}

Manipulating right side

2 \frac{cos ( x )}{csc ( x )}

Express with sin, cos

= 2 cos (x) sin (x)

Rewrite using trig identities

= sin (2 x)

We showed that the two sides could take the same form

\Rightarrow True

2 sin (3 0^{\circ}) cos (3 0^{\circ}) = sin (6 0^{\circ})

\frac{cot ( θ ) + tan ( θ )}{cot ( θ )} = sec^{2} (θ)

sin (2 x) = \frac{2 sin ( x )}{sec ( x )}

4 sin^{2} (x) tan (x) = tan (x)

sin (x) = \frac{3}{4} \cdot \frac{sin ( x )}{\frac{3}{4}}

Is sin(2x)=2(cos(x))/(csc(x)) ?
The answer to whether sin(2x)=2(cos(x))/(csc(x)) is True