Is tan(pi/2-θ)sin(θ)=cos(θ) ?

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

Popular >

prove tan(pi/2-θ)sin(θ)=cos(θ)

prove

tan (\frac{π}{2} - θ) sin (θ) = cos (θ)

True

Solution steps

tan (\frac{π}{2} - θ) sin (θ) = cos (θ)

Manipulating left side

tan (\frac{π}{2} - θ) sin (θ)

Rewrite using trig identities

= \frac{cos ( θ )}{sin ( θ )} sin (θ)

Simplify

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

= cos (θ)

We showed that the two sides could take the same form

\Rightarrow True

sin (\frac{5 π}{3}) = - \frac{3}{2}

\frac{sec ( y )}{sec ( y ) - cos ( y )} = csc^{2} (y)

sin^{2} (x) + 4 sin (x) + 4 = (sin (x) + 2)^{2}

csc (θ) - (cos (θ)) (cot (θ)) = sin (θ)

(1 - sin (2 a)) (1 + tan (2 a)) = 1

Is tan(pi/2-θ)sin(θ)=cos(θ) ?
The answer to whether tan(pi/2-θ)sin(θ)=cos(θ) is True