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If sin A=3/5,w h e r e0^0ltAlt90^0 , the...

If `sin A=3/5,w h e r e0^0ltAlt90^0` , then find the values of `sin2A , cos2A ,tan2Aa n dsin4A`

Text Solution

Verified by Experts

Given `sinA=3//5` and A is an acute angle Therefore
`cos A=(4)/(5)` [`because a` is acute]
`cos A=(4)/(5)`
and `tan A=(3)/(4)`
Now, `sin2A=2sinAcosA=2xx(3)/(5)xx(4)/(5)=(24)/(25)`
`cos 2A=1-2sin^(2)A=1-2xx(9)/(25)=(7)/(25)`
`tan 2A=(sin2A)/(cos 2A)=(24)/(7)`
`sin 4A=2sin2Acos 2A=2xx(24)/(25)xx(7)/(25)=(336)/(625)`
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