put that into a fraction please
You should know the sin and cos values for 0, 30, 45, 60, 90, 120, 135, 150, 180 etc in degrees.
The formula you need is
sin (A+B) = (sin A*cos B) + (cos A*sin B)
What are two known values that add to 165? I would choose 45 and 120.
sin (45+120)=sin45*cos120+cos45*sin120
Now solve: ((sqrt2)/2)*-1/2 + ((sqrt2)/2)*-(sqrt(3)/2)
Simplify: ((-sqrt2)((sqrt3)-1))/4
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
You should know the sin and cos values for 0, 30, 45, 60, 90, 120, 135, 150, 180 etc in degrees.
The formula you need is
sin (A+B) = (sin A*cos B) + (cos A*sin B)
What are two known values that add to 165? I would choose 45 and 120.
sin (45+120)=sin45*cos120+cos45*sin120
Now solve: ((sqrt2)/2)*-1/2 + ((sqrt2)/2)*-(sqrt(3)/2)
Simplify: ((-sqrt2)((sqrt3)-1))/4