Simplify cos(pi/2-u)

Problem

cos(π/2−u)

Solution

1. Identify the trigonometric identity for the co-function relationship.

2. Apply the formula for the cosine of a difference, which is cos(A−B)=cos(A)*cos(B)+sin(A)*sin(B)

3. Substitute A=π/2 and B=u into the identity.

4. Evaluate the known trigonometric values where cos(π/2)=0 and sin(π/2)=1

5. Simplify the resulting expression.

cos(π/2−u)=cos(π/2)*cos(u)+sin(π/2)*sin(u)

cos(π/2−u)=(0)*cos(u)+(1)*sin(u)

cos(π/2−u)=sin(u)

Final Answer

cos(π/2−u)=sin(u)

Want more problems? Check here!