let a and b be two acute angles. Suppose cosa=3/5 and tanb=2/3. Determine the exact and simplified value of: a) sin a/2 b) tan (a + b) c) cos(2/b)

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A: Topic :- trigonometry

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A: I am attaching image so that you understand each and every step.

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A: As per our guidelines we can solve only one question. Rest question can be reposted.  Here in…

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A: cos2α=1-sin2α sinα+β=sinαcosβ+cosαsinβ

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A: solution:- Use a reference angle to find the exact value of tan 4π/3.

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Q: ind the value of the indicated trigonometric function of the angle 0 in the ational denominator. 3.

A: see the details solution in below

Q: Let θ be an angle such that tanθ = 4/3 and cosθ<0. Find the exact values of : a) secθ b) cscθ .

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Q: If 0 be a positive acute angle satisfying cos? 0 + cos* 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: Given that tan A= and sin(A B) = 2 cos(A– B), the exact values of %3D sin 2A = and tan B = %3D

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Q: In right ∆QRS, Angles Q and R are the acute angles. If tan Q = √51/7, determine cos R.

A: We have used the Pythagoras Theorem in this question.

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