Question

Question #a04e8

Answer 1

`sin(pi/2)=color(green)(cos(0))`

Explanation:

This question probably has more to do with the meaning of cofunction for trigonometric functions.

#{: (color(black)("function"),color(white)("XX"),color(black)("cofunction")), (sin(theta),"=",cos(pi/2-theta)), (cos(theta),"=",sin(pi/2,theta)), (tan(theta),"=",cot(pi/2-theta)), (cot(theta),"=",tan(pi/2-theta)), (sec(theta),"=",csc(pi/2-theta)), (csc(theta),"=",sec(pi/2-theta)) :}#

For the given example:
`color(white)("XXX")sin(pi/2)=cos(pi/2-pi/2)=cos(0)`