Is sin(180+θ)=-sin(θ) ?

The answer to whether sin(180+θ)=-sin(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(180+θ)=-sin(θ)

prove

sin (18 0^{\circ} + θ) = - sin (θ)

True

Solution steps

sin (18 0^{\circ} + θ) = - sin (θ)

Manipulating left side

sin (18 0^{\circ} + θ)

Rewrite using trig identities

= - sin (θ)

We showed that the two sides could take the same form

\Rightarrow True

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

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

tan (\frac{5 π}{6}) = tan (\frac{11 π}{6})

2 sec (x) = 2 + 2 tan (x)

3 sec^{2} (x) = \frac{3}{cos ^{2} ( x )}