Is prove-2sin(x-y)sin(x+y)=cos(2x)-cos(2y) ?

The answer to whether prove-2sin(x-y)sin(x+y)=cos(2x)-cos(2y) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove-2sin(x-y)sin(x+y)=cos(2x)-cos(2y)

prove

- 2 sin (x - y) sin (x + y) = cos (2 x) - cos (2 y)

True

Solution steps

- 2 sin (x - y) sin (x + y) = cos (2 x) - cos (2 y)

Manipulating right side

cos (2 x) - cos (2 y)

Rewrite using trig identities

= - 2 sin (x + y) sin (x - y)

= - 2 sin (x - y) sin (x + y)

We showed that the two sides could take the same form

\Rightarrow True

\frac{csc ^{2} ( x )}{cot ( x )} = csc (x) \cdot sec (x)

(1 - sin (x)) + (1 + sin (x)) = 2 cos (x)

- \frac{1}{sin ( x )} = - csc (x)

tan^{2} (θ) + 4 = sec^{2} (θ) + 3

\frac{sin ^{2} ( a )}{1 + cos ( a )} = 1 - cos (a)

Is prove-2sin(x-y)sin(x+y)=cos(2x)-cos(2y) ?
The answer to whether prove-2sin(x-y)sin(x+y)=cos(2x)-cos(2y) is True