If a, B, y, ð are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity A, then prove that Y a 4 sin+ 3sin +2sin+ sin- = 21-A. 2 2 2

Q: EX-10 - Prove the following identities: a) Sin( A+B)+ Sin( A-B)= 2.SinA.CosB Sin( A+B) b) tan A+ tan…

A: Using trigonometric function

Q: If A is an angle in QII such that sin A = find cos A = cos B = sin (A + B) = cos(A + B) = 27 ²7/71…

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Q: Solve for the angle 0, where OsO<2t ( choose two points only) 3 sin? 0 = 4

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: If Z = cos () +i sin then Z-Z+1=. .

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Q: 25 70 15 B

A: We know  sinθ=PerpendicularHypotenuse=OppositeHypotenuse

Q: Find: L [sin 2 5t ]. 0-co 5 Cos 10t) s² + 25 O A.) B.) 1 5 s² +25 2s 2(s +100) C.) D.)

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Q: 8) sin C = %D 13 27

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Q: Suppose the angle A satisfies 0 0, determine: The quadrant for the angle A/2 = 1 Then, sin(A) =…

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Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

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Q: (b) Show that sin50=(Q sine-R sin 30+S sin 50 ) by using De Moivre's Theorem. Hence, state the…

A: We have to express sin5θ   in the form   sin5θ = 1PQsinθ-Rsin3θ+Ssin5θ using De Moivre's Theorem. At…