ises evaluate the expression. 25. sin (2 cos ¹1) 27. cos (2 sin¹) 29. cos (3 sin-¹) -LA ident 26. cos (2 sin-¹) 28. sin (2 tan-¹) 30. tan (2 tan-¹)
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- In Exercises 63–65, determine whetherthe statement is true or false. Justify your answer.63. tan x2 = tan2 x 64. cos(θ − π2) = sin θ65. The equation sin2 θ + cos2 θ = 1 + tan2 θ is an identitybecause sin2(0) + cos2(0) = 1 and 1 + tan2(0) = 1.Verify the identity: tan2 2x + sin2 2x + cos2 2x = sec2 2xverify the identity 1 + sec ^2 x/ 1 + tan ^2 x = 1+ cos^2x
- Verify the identity. (Simplify at each step.) 5 sin2 x − 5 sin4 x = 5 cos2 x − 5 cos4 x 5 sin2 x − 5 sin4 x = 5 sin2 x (1 - _____ ) = (5 - 5 cos2 x) (cos2 x) = 5 cos2 x − 5 cos4 xTo prove cos (-u) csc (-u) tan (-u) = 1, which of the following is correct as a first step? a. cos (-u) csc (-u) tan (-u) = cos u (-csc u) (-tan u)b. cos (-u) csc (-u) tan (-u) = -cos u (csc u) (-tan u)c. cos (-u) csc (-u) tan (-u) =cos u (csc u) (tan u)d. cos (-u) csc (-u) tan (-u) = cos u (-csc u) (tan u)