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CBSE Class 11-science Answered

find the value of 2sin square 3pie by 4+3cos square 3pie by4-2tan square 3pie by 4
Asked by rajyothi64 | 05 Mar, 2024, 09:49: PM
answered-by-expert Expert Answer

Let x = 3 sin2(3π/4) + 3 cos2(3π/4) - 2 tan2(3π/4)

x = 3 [  sin2(3π/4) +  cos2(3π/4) ] - 2 tan2(3π/4)

x = 3 - 2 tan2(3π/4)

tan ( 3π/4) = -1

Hence , x = 3 - 2 tan2(3π/4) = 3 -2 (-1)2 = 1

 

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