Cos2x=cos60.cos30+sin60.sin30 find sin2x
Answers
Answered by
7
Answer:
Step-by-step explanation:
Cos60.cos30+sin60.sin30
1/2.√3/2+√3/2.1/2
√3/4+√3/4
2√3/4
√3/2=cos2x
Sin=√1-cos^2
Sin=√1-(√3/2)^2
√1-3/4
√1/4
Sin2x=1/2.
Hope you will get
nikhilmpgowda:
Weather sin2x=45°
Answered by
6
Heya
_______________________________
Cos ( A - B ) = Cos A × Cos B + Sin A × Sin B
_______________________________
Cos 2x = Cos ( 60 - 30 )
=>
Cos 2x = Cos 30
=>
2x = 30°
=>
So, Sin 2x = Sin ( 30° ) = 1/2
=>
Sin 2x = 1/2
_______________________________
Cos ( A - B ) = Cos A × Cos B + Sin A × Sin B
_______________________________
Cos 2x = Cos ( 60 - 30 )
=>
Cos 2x = Cos 30
=>
2x = 30°
=>
So, Sin 2x = Sin ( 30° ) = 1/2
=>
Sin 2x = 1/2
Similar questions