Is (cos(b))/(sin(b))*sin(b)=cos(b) ?

The answer to whether (cos(b))/(sin(b))*sin(b)=cos(b) is True

Popular >

prove (cos(b))/(sin(b))*sin(b)=cos(b)

prove

\frac{cos ( b )}{sin ( b )} \cdot sin (b) = cos (b)

True

Solution steps

\frac{cos ( b )}{sin ( b )} sin (b) = cos (b)

Manipulating left side

\frac{cos ( b )}{sin ( b )} sin (b)

Simplify

\frac{cos ( b )}{sin ( b )} sin (b) : cos (b)

\frac{cos ( b )}{sin ( b )} sin (b)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{cos ( b ) sin ( b )}{sin ( b )}

Cancel the common factor:

sin (b)

= cos (b)

= cos (b)

We showed that the two sides could take the same form

\Rightarrow True

- 50 cos (4 t) + 50 = 100 sin^{2} (2 t)

\frac{7 sec ( θ ) - 7}{1 - cos ( θ )} = 7 sec (θ)

1 + sec (θ) = \frac{sin ( θ ) tan ( θ )}{1 - cos ( θ )}

cos (20 π + x) + cos (21 π - x) = 0

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

Is (cos(b))/(sin(b))*sin(b)=cos(b) ?
The answer to whether (cos(b))/(sin(b))*sin(b)=cos(b) is True