Cos 40 x Cos 50 - Sin 40 x Sin 50.

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A: 3 We have to find exact value of cosπ12          since we know that cosπ6=32          since we…

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Q: Establish each identity.

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A: cos (282°) cos (33°)-sin (282°) sin (33°)Now, we know that cos(x+y)=cosx cosy-sinx sinySo, cos282°…

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A: given,

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A: Consider the given identity sin θsin3θ+sin5θ=cos θcos3θ+cos5θ   Consider the LHS LHS=sin…

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Q: 39. cos (7 + x) 40. sin(27 - x) 41. sin 42. cos + x 2

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Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

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Q: sin 40 + sin 20 12. cos 48 + cos 20 A- tan 30 B B tan 0 cot 30 D D cot 0

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A: Sin(-x)        =-Sin(x) Cos(-x)        =Cos(x) Sin2x+Cos2x=1 cosec(x)       =1/sin(x)

Q: 40. sin (27 - x) 37T 42. cos COS

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Q: sin(16x) cos(8x) =;(sin( x) + sin( -8 2))

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Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

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A: Use words to describe the given formula.            sin·sin·=12cos·-·-cos·+·

Q: 90. (sin 0- cos 0) - 1= -2 sind cos 0 o€) 1=-2 sin & cos 0 COS

A: Given: sinθ−cosθ2−1=−2sinθcosθ We have to prove the given identity. Identity used: sin2θ+cos2θ=1

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