Is sin(θ+pi/2)=cos(θ) ?

The answer to whether sin(θ+pi/2)=cos(θ) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sin(θ+pi/2)=cos(θ)

prove

sin (θ + \frac{π}{2}) = cos (θ)

True

Solution steps

sin (θ + \frac{π}{2}) = cos (θ)

Manipulating left side

sin (θ + \frac{π}{2})

Rewrite using trig identities

= cos (θ)

We showed that the two sides could take the same form

\Rightarrow True

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

(1 - cos (x)) (1 + sec (x)) = sec (x) - cos (x)

6 sin (5 π - x) = 6 sin (x)

2 sin (θ) cos (θ) = sin (2 θ)

tan^{4} (x) + tan^{2} (x) + 1 = sec^{4} (x)