Question

cos 30° x cos 600+ sin 30
X х
sin go​

Answer 1

Answer:

sin(30°+x)=cos(30°+x)  

sin2(30°+x)=cos2(30°+x) [squaring both sides]

sin2(30°+x)=1−sin2(30°+x)

2sin2(30°+x)=1

sin2(30°+x)=1/2

sin(30°+x)=1/√2

sin(30°+x)=sin(45°) [considering, 30°+x as an accute angel]

30°+x=45°

∴ x=15°