evaluate sin 5 A trigonometry
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Answered by
2
sin5A=
sin(2A+3A)=sin2A.cos3A+cos2A.sin3A
...by formula of sin(A+ B)
or we hv formula of sin2A=2sinA.cosB
so,sin5A=2sin[5A÷2].cos[5A÷2]
sin(2A+3A)=sin2A.cos3A+cos2A.sin3A
...by formula of sin(A+ B)
or we hv formula of sin2A=2sinA.cosB
so,sin5A=2sin[5A÷2].cos[5A÷2]
Answered by
5
Hello Friend,
The solution is in the picture.
The identities used are:
• sin (A+B) = sin A cos B + cos A sin B
• sin 2A = 2 sin A cos A
• sin 3A = 3 sin A - 4 sin³A
• cos 2A = 1 - 2 sin²A
• cos 3A = 4 cos³A - 3 cos A
• cos²A = 1 - sin²A
Using only this much, sin 5A can be evaluated in terms of sin A.
Hope it helps.
Purva
@Purvaparmar1405
Brainly.in
The solution is in the picture.
The identities used are:
• sin (A+B) = sin A cos B + cos A sin B
• sin 2A = 2 sin A cos A
• sin 3A = 3 sin A - 4 sin³A
• cos 2A = 1 - 2 sin²A
• cos 3A = 4 cos³A - 3 cos A
• cos²A = 1 - sin²A
Using only this much, sin 5A can be evaluated in terms of sin A.
Hope it helps.
Purva
@Purvaparmar1405
Brainly.in
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