Is sin(t+168)=cos(t+78) ?

The answer to whether sin(t+168)=cos(t+78) is False

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sin(t+168)=cos(t+78)

prove

sin (t + 168) = cos (t + 78)

False

Solution steps

sin (t + 168) = cos (t + 78)

Show that the two sides are not equal

For

sin (t + 168) = cos (t + 78)

plug in

t = 0

sin (0 + 168) = - 0.99717 \dots

sin (0 + 168)

Refine to a decimal form

= - 0.99717 \dots

cos (0 + 78) = - 0.85780 \dots

cos (0 + 78)

Refine to a decimal form

= - 0.85780 \dots

The two sides are not equal

\Rightarrow False

sin^{2} (x) - cos^{2} (x) sin^{2} (x) = sin^{4} (x)

sin (2 θ) = \frac{1}{2}

\frac{1}{sin ( x )} - \frac{1}{tan ( x )} = tan (\frac{1}{2} x)

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

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