Question

FIND IF SIN(A+36)=CosA​

Answer 1

Hi mate

we have,

SIN(A+36°)=COS A

COS [90°-(A+36°)]=COS A

90°-(A+36°)=A《=》2A=54=》A=27°

Answer 2

prove

Step-by-step explanation:

sin(A+36) = cosA

now using quadrants

• sin(90-(A+36))= cos(90- A)
• {90-36=54}
• sin(54-A)= sin A { as angle lies in 1st quadrant and multiple of odd (90's)}
• 54-A = Sin inverse(sin A) { both gets cancel out}
• 54-A = A
• 27= 2A
• A=27

now you can cross check by putting value in equation

sin(27+27) = cos 27

sin54=cos 27

and if you have learnt the values you can see that both angles have same values. thankq

and if there is any doubt just ask me .