Exercise 5.4 1. sin 0=0,5 Cos 0= 0,922 c) tan 0= 2,8765 1,9 d) sin 0 = 2,6 2 tan 0 = 1 202 ) 3 cos 0 = 0,5 %3D sin 0 = 0,13 g) 3 3 cos0 h) -1= 0 i) 4 tan (0 - 30°) = 1 2 sin (0 – 10°) j) 0,102 %3D 3. (k)) 4 cos 2 0 = 3,5 I) tan 20 5,102 %3D sin (30 - 35°) m) = 0,17 %3D 3

Q: Verify the identity: cos(α - β)/(cos α cos β) = 1 + tan α tan β.

A: We will use the identity

Q: identify A, B, C, and D for the sine functions in Exercis "y = 2 sin (x + p) - 1"

A: Consider the provided function, y=2sinx+p-1 Identify A,B,C and D for the sine functions. We know…

Q: 20 Suppose that sec(0) = = and tan(4) = -. If sin(0) 0: %3D a) Find sın(0 + p): b) Find tan(0 + ¢):…

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Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: Find the exact value of tan [ 2 sin-1 (-12/13) ]

A: Given,  tan 2 sin-1-1213  We have to find the exact value of the above expression

Q: 1, Solve for o 0-2T (a) sine 2 W cos 28 = 8- %3D O Zsin e- =o - omis ce)

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Q: Exercise 14D 1 If sin\theta =0.42,cosx=0.7 and tan\alpha =0.38, write down the values of: a sin(\pi…

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Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: -6 37 Зл Determine the exact value for sin(A+ B). 2 Given: sin A = <AS 2n, and tan B = - 7' 2 N3

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Q: use demoirvre's Theorem of powers z= Square root 2 (cos 5 pi/24 +i sin 5 pi/24)

A: Given : z=2cos5π24+isin5π24 de moivre's theorem: If z=rcosθ+isinθ then zn=rncosnθ+isinnθ.

Q: Verify the identity : cos(α - β)/(cos α .sin β) = tan α + cot β

A: Given : cosα - βcosα sinβ = tanα + cotβ

Q: 6. Verify identity (cot2t + 1)(sin² t+ 1) = cot? t + 2 (show your work, step by step)

A:

Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: Prove the following cosecß cot B tan B sin ß tan? 0 = cosec 0 tan? 0 – 1 I. П.

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Q: 20 and cos v = - 29 8. (Both u and v are in Quadrant III.) Find the exact value of the trigonometric…

A: Let x be an angle. According to the trigonometric pythagorean identity, sin2x+cos2x=1. Substitute u…

Q: Write the function in the form y = a sin b(x - c)or y = a cos b(x-c). Find the period and phase…

A: We have to solve period,phase shift and inverse trigonometric function..

Q: Find the exact values of sin ø 17 - 9) sec 8= 15 and sin 0 <0

A:

Q: Given the angle = = Angle sec (0) sec (¹1) 21 sin (1) 21 cos (²11) has the same value as: -11 21…

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Q: 2 cos z = 2 cos² (-)- Prove that sin z tan +2 cos z

A: Prove that : sinx tan(x/2) + 2cosx = 2cos2(x/2).