cos³ 10° + cos³ 110° + cos³ 130° - Evaluate
Answers
Answered by
26
Hi,
It is related to Trigonometric Multiple
& Submultple Angles.
We know that,
____________________________
Cos³ x + Cos ³ ( 120-x )+Cos³ ( 120+ x )
= (3/4)Cos 3x
____________________________
According to the problem given ,
x = 10 ,
Cos³ 10 + Cos³ 110+Cos³130
= Cos10+ Cos³ (120-10)+ Cos³ (120+10)
= ( 3/4) Cos (3×10)
= (3/4)Cos30°
= (3/4)×(√3/2)
= (3√3)/8
I hope this helps you.
:)
It is related to Trigonometric Multiple
& Submultple Angles.
We know that,
____________________________
Cos³ x + Cos ³ ( 120-x )+Cos³ ( 120+ x )
= (3/4)Cos 3x
____________________________
According to the problem given ,
x = 10 ,
Cos³ 10 + Cos³ 110+Cos³130
= Cos10+ Cos³ (120-10)+ Cos³ (120+10)
= ( 3/4) Cos (3×10)
= (3/4)Cos30°
= (3/4)×(√3/2)
= (3√3)/8
I hope this helps you.
:)
mysticd:
:)
how r u
thank you choosing as brainliest
Answered by
5
Step-by-step explanation:
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