1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos 95° sin 4 5° (曾- c) cos? -sin? |

Q: Express in the form a + bi where a and b are real numbers.

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Q: If a, B, y, ð are the smallest positive angles in ascending order of magnitude which have their…

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Q: tan 13° cos 57° sin 77 %3D %3D

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Q: (1+cot 8) de 5. sin eJ4 - cote

A: ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫…

Q: Find tue indefinike insegred. Jcostex) sin'ces) de 3 6 (os (2x) Sin

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Q: By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin'x.…

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Q: If L--in a/a¢, then [L,cosø ] = iħsino I O iħsin20 .II O iħcoso .III O

A: It is given that Lz⏞=-in∂∂ϕ,

Q: 4. Express the following as a single trigonometric ratio: a) 4sin(2x)cos(2x) b) 6cos? 3

A: We have to express the given trigonometric ratio in a single trigonometric ratio.

Q: A, = AP, cos (lot + 20) Az=APz sin (lot - 40) when A, lagS A, by 210, since A, may be written as :-…

A: If, X=B1sinωt and Y=B2sinωt-θ, then, it can be said that Y lags X by an angle θ .

Q: Find all angles between 0 and 277 satisfying the condition cosx = Separate your answers with commas.

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Q: What is (cos(teta) + jsin(teta))n?

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Q: Find

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Q: Given ?, a positive angle less than 2pi, fill out each of the following in terms of ?.     ? in QI…

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Q: Find all angles v between −π and π that satisfy  6 cos(v)2+6 √ 2 * cos(v)= −3 .

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Q: 9. 12 Y A 15 length of side opposite ZA Choose the ratio that represents the Sin(A): hypotenuse O…

A: Given Sin(p) = (length of opposite side of angle P)/hypotenuse

Q: Show that cosh iθ = cos θ,

A: We know that  coshx=ex+e-x2 and by Euler's theorem, eix=cosx+isinxe-ix=cos-x+isin-x=cosx-isinx We…

Q: Find the crea trom X = 0 to 2 rad y=2 sin '/2 Tr x.

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Q: Which is the value of sec? 80° – tan? 80°? O undefined 0 1 O-1

A: We know :  sec2θ-tan2θ=1.

Q: If sin a: 1 then sec a =?

A: We can solve this by using trigonometric identities . We can use the identity sin2α+cos2α=1 . By…

Q: do sulev tos 11. sin 405° 12. cos 420° 13. tan 405° 14. sin 390° 15. csc 450° 16. sec 540° 33т 19.…

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Q: In right argle triargle, A =q0° and tanc = V3 End : sin B cośltcos Bsin C %3D

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Q: 31. (cos 40 + i sin 48)²(cos 30 + i sin 30) = A cos 50 + i sin 50 B cos 110 +i sin 110 C_ cos 30 + i…

A: cos4θ+isin4∅2cos3θ+isin3θ= formula used- CosACosB-SinASinB=Cos(A+B)SinACosB+CosASinB=Sin(A+B)i2=-1

Q: 1. Which is equal to cos ? cos O sin * O sin O Cos 품 27 COS

A: topic - trigonometric ratios

Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6

A: Given function and point is  w=f(a,b,c)=cos(ab)sin(b)+c and 12,π3,6

Q: Show that a. cosh iu = cos u, b. sinh iu = i sin u.

A: To show that

Q: tan 5, given sin 0: 3 270° <0 < 360° 5

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Q: Select ALL the true statements regarding this triangle. C 13 4 A В O tan(8) = 13 O tan(6) = 4 %3D 13…

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Q: To evaluate tan z cos z dz, we may substitute u= cos z.

A: Given,          ∫tan3xcos2xdx

Q: Express as a sum.(cos au)(cos bu)

A: Given : (cos au)(cos bu)

Q: 1 In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? I. sin(A) =…

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Q: Use an appropriat aif-angle la to evaluate eadch quanuty. nswers in exact form.) (a) sin(77/8) (b)…

A: Part a: We can write sin7π8 as, sin7π8=sinπ-π8=sinπ8 Now, 2 sin2a=1-cos2a⇒2 sin2π8=1-cosπ4⇒2…

Q: 2 sin- If p = cos -1 q, show that 4p? – 4pt + q? = 1.

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Q: cos Ꮎ 1 + tan 0 sin Ꮎ 1 + cote = cos 0 sin 0 Suppo pat bus to as to

A: Left side is given by :cosθ1+tanθ-sinθ1+cotθ

Q: 2n 5. Evaluate sec using reference angles. 3

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Q: 2) Find the exact value of sin 15° = sin ( -) Find two unit circle angles that subtract to 15 30°,…

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Q: a, - pgâ, + z cos² pâ ‚, what is V •A ? :coS

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Q: Find all angles between 0 and 27 satisfying the condition Cos x = Separate your answers with commas.

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Q: 7x sin 4 %3D nswer, including any

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Q: what is the exact value using half angles for 1. sin(11pi/12) 2. cos (7pi/8) 3. tan (5pi/12

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Q: Which of the following is undefined? A sec(1710°) B tan(4260°) © cot(2890") D csc(3250")

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Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

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Q: 1. Express cos-as a cofunction of a complimentary angle 10"

A: we have the formula  sin(π/2 - x ) = cos x Now, we have given  :  cos3π/10 So , x = 3π/10

Q: 1. What is the sign of the abscissa and ordinate of points in each of the quadrants of a two-…

A: To find the signs of abscissa and ordinate and relate withe signs of trigonometric function in a…