1. If we know the values of sin x and cos x, we can find the value of sin 2r by using the Formula for Sine. State the formula: sin 2x =

Q: 16) If Sin A = where 0 < A <; 2 12 Cos B = where 13 < B < 2n 2 then find the value of ... Cos 2B Sin…

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Q: If cos 0 2. and 0 is in Quadrant III, then sin 0 is equivalent to 4 (1) -7 (2) V7 (3) - 4 4 (4) 등 4

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Q: If cos 0= 5/13. Find the numerical value of sin 0.

A: Given: cosθ=513

Q: 12 If sin 0 37 0 <0 find the exact value of each of the following. ' 2 (a) sin (20) (b) cos (20) (c)…

A: As per guidelines, we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: 12 If sin 0 = 0<0 37' <0<5, find the exact value of each of the following. 2 (a) sin (20) (b) cos…

A: We need to find trigonometric ratios

Q: 8 If tan 0=, T<0< find the exact value of each of the following. 5' 2 (a) sin (20) (b) cos (20) (c)…

A: We use Trigonometry ratios, double angle and half angle formulas

Q: 13 5.

A: First use Pythagoras theorem to find the value of x. Then use the value of x so found to find sin…

Q: 5) If cos 0 and you are in the fourth quadrant, find sin 0 and tan 0

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Q: Simplify to an expression of the form (a sin(0)). co() 6 sin 18

A: We use Trigonometry identities

Q: If tan 0 = 5 6 1 (a) sin (20) 31 2 πεθα· find the exact value of each of the following. 3 (b) cos…

A: Given that tan θ=56Since, we know that  tan θ=PerpendicularBase⇒  Perpendicular=5 and Base=6By…

Q: Give the EXACT values for the quantities. (a) sin 19 (b) cos (c) cos = COS

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Q: Suppose that cos 8 = 0.68. What is the value of sin(a)?

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Q: 15 Given: sin0 and %3D 17 2 Find the exact value of: cos 2 cos

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Q: 19 Use an addition or subtraction formula to find the exact value of sin 12 VĀ(VB +1) 4 A = B = ||

A: We need to find sin19π12. Now,              sin19π12=cosπ2-19π12=cos-13π12=cos13π12=-2+64=-21+34

Q: 180°), determine without the use of a calculator and with the aid of a diagram the value of: cosß…

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Q: Find the exact value of sin α = 3/5 , a lies in quadrant I, and sin α = 5/13, β lies in quadrant…

A: Given Data The value of sine in quadrant I is sin α=35. The value of sine in quadrant II is sin…

Q: (b) If (20) = 3/5 and 0<o<T/4, find the values of i. sin (20) Cos ii, cos () iii. sin (0)

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Q: Find the exact values of sin 2a, cos 2a, and tan 2a given the following information. 4 tan a = 270°…

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Q: 2. If sin 0 = – and 0 E QII, find cos 0. Give an exact answer. 3

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 8. sin(x) = x in Quadrant III %D 17'

A: sinx = -817   , in iii quadrant, hence, cosine will also be negative, hence, cosx = -1-sin2x =…

Q: 24 If tan(0) 0 <0 2 then 10 sin(0) equals cos(0) equals

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Q: 25. If tane = 4 which of the following is not correct? 4 С. cot 0 4 A. sine = x2 + 16 x² – 16 В. cos…

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Q: Given that sin 0= 11/61 and cos 0 < 0, determine the values of the sine and cosine functions for 20.

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Q: 13. If cos 0 has a negative value and tan 0 has a positive value, find a and b such 0< a < 0 <b < 2n

A: Cos X is positive in 1st and 4th quadrant. Tan X is positive in 1st and 3rd quadrant.

Q: 8 Given cos 0 = 17 find sin 0. sin 0 = [?]

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Q: 1 元 If sin 0 = 0< 0< find the exact value of each of the following. 2' 4 (a) sin (20) (b) cos (20)…

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Q: 12 Given that sine 13 and 0 < 0 <, find sin(20) and cos(20)

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Q: 12 and sin 0>0, find cos 0. 35 3. Given tan O

A: given that tanθ=-1235 since sinθ&gt;0 therefore, θ lies in the first or second quadrant. But given…

Q: 4 The value of [ cos* 30 sin° 60 de is

A: We need to calculate the given definite integral for which we will use the substitution.

Q: 4 1. Find the value of (icos-+ sin TT sin-) 8.

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Q: 4. Determine the value of sin 56° to four decimal places. C. 0.5218 a. 0.2736 b. 0.3115 d. 0.8290

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Q: 5 and cos a= 13 If sin a 12 , what is the value of sec a + )? 13 O 17/2 26 O 7/2 26 O 13/2 17 O 13…

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Q: If sin(8) = 1 and e is in the 1st quadrant, find cos(0) cos(0) = Enter your answer as a reduced…

A: Given sinθ=34 and θ is in first quadrant.

Q: If sin 0 = 0< 0<5, find the exact value of each of the following. 41' 2 (a) sin (20) (b) cos (20)…

A: Given that: sinθ=4041   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: If sin 0 ==.0<0<• 7' find the exact value of each of the following. 2 (a) sin (20) (b) cos (20) (C)…

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Q: Find the exact value of the given expression sin(2 cos)) 17

A: Refer to the question, we have to find the value of the provided expression,

Q: Evaluate the expression under the given conditions. sin(8 + 9); sin 8 = 8 in Quadrant I, cos 22√5 85…

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Q: 27. sin? ax cos? ax dx

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Q: Find the exact value of the expression. an(1)) sin cos + 2

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Q: 2. If we know the value of cos x and the quadrant in which x/2 lies, we can find the value of…

A: We know, Half-angle formula for sine is given by: sinx=±1-cos2x2 Substituting,x=x2,in above formula…

Q: 3 If cos 0 = - 4 and 0 is in Quadrant III, then sin 0 is equivalent to 2. (1) - (3) – 5 4 4 (2) *…

A: in 3rd quadrant sin is negative : Given :

Q: 20 Given: csc (8) = find sin (0)

A: We know that; cosec x = 1/(sinx) So, according to the given question; sin(Θ) = 1/(cosec(Θ)) = 9/20.…

Q: If we know the value of cos x and the quadrant in which x/2 lies, we can find the value of sin1x/22…

A: If we know the value of cos x and the quadrant in which x/2 lies, we can find the value of sin(x/2)…

Q: 11 ,0<a< 61 3. If sin(a) Find sin()

A: If sin(alpha)= 11/61 then find sin(alpha/2)

Q: S(1) = -e" sin (21 +7)

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Q: It is known that sin A =, where < A < n, and cos B = n< B < . Find the exact values of: where 13 3x…

A: Given that, sinA=35,π2&lt;A&lt;πcosA=-513,π&lt;B&lt;3π2

Q: Find the exact value under the given conditions. 4 TI 18) sin a =<a<n; cos ß =, 0<B< 0 < B<2 Find…

A: Given: So, alpha is in the second quadrant. There cos is negative

Q: 4. If tan 0 =E, x<0<, find the exact value of each of the following. 2' (a) sin (20) (b) cos (20)…

A: As we know that sin2A=2tanA1+tan2Acos2A=1-tan2A1+tan2A

Q: Find the exact value of cos α = 1/2, α lies in quadrant IV, and sin β = - 1/3, β lies in quadrant…

A: (a) Consider the given expression as, cosα+β

Q: 15 0<0 < –, find the exact value of each of the following. 17 TC If sin 0 = (a) sin (20) (b) cos…

A: Given sin θ=1517, 0&lt;θ&lt;π2 ⇒cos θ=1-sin2θ               =1-225289               =64289…