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Find the value of : 2sin^2[30^@]-3cos^2...

Find the value of : `2sin^2[30^@]-3cos^2[30]^@+tan^2[60]^@+3sin^2[90]^@`

Text Solution

Verified by Experts

`2sin^2 30^@ - 3cos^2 30^@+tan^2 60^@+3sin^2 90^@`
`=2(1/2)^2-3(sqrt3/2)^2 +(sqrt3)^2+ 3(1)^2`
`=1/2-9/4+3+3`
`=(2-9+12+12)/4 = 17/4`
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