8. Given cos a = -3T

Q: 5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one…

A: given that 2sin2θ=cos2θ to prove that tan2θ=0.5 proceed as follows  2sin2θcos2θ=1tan2θ=12tan2θ=0.5

Q: 9. Given that sin A= 5 , where OCA<II, and tan B = -4, and tan B= 4 2. %3D 3. where 3 TT <B <2 Tl,…

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Q: 1-cos . Fill in the blank: sin(_) = V 2 O 7y

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: Given that 4 cos z - 2 sin z= a cos 2x + b, the values of a = %3D and ||

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Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

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Q: if cos A=1/2 with A in QIV find sin A/2

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Q: 7. cos A = ar and sin B = 5 with A and B in QI. 13

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Q: 3 5 3n If cos x = - 5 , where sin (x - y). , and cot y = 12 , where 2 determine the exact value of

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Q: 3. Let sin A = with A in QII and cos B = – -i with B in QIII. Find cos(A+ B). (4pts)

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Q: . Find, without using tables, the values of Cos x and Sin x, when Cos 2x is : 1/8

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Q: 2. To create an identity for the equation cos x( 1+cotx) = A, where A would need to be A. cos'x B.…

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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: If 0 = then 3 %3D sin(8) = %3D cos(e) = %3D

A: We have  this can be also written as

Q: 1) Using the formula: cos(x + y) = cos x cos y – sin x sin y, prove in steps 1+cos 2 x that: cos? x…

A: In the question it is asked to calculate the solution of cos2x=1+cos2x2 using the formula cos(x+…

Q: 22. Given that4 cos 0 + 3 sin 0 = R sin(0 + a), the value of R and tan a are respectively 3 A 25…

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Q: Give the EXACT values for the quantities. (a) sin 19π/4 = (b) cos −14π/3 = (c) cos −5π/6

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If sin A= 12/13 with A in Q2 find cos A/2

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Q: es (or+.1). COS Using P, (x), eshimate cas

A: In the question it is provided a function fi=cosπ+i The objective is to estimate the above function…

Q: (Note: Check the answer by the calculator) sin 0 + In + 22+3 = -3 1-cos 20 In y? + 322- 4 = 2 2 +2ln…

A: Given system of equation can rewritten as : sinθ+ln1y+2z+3=-3lny2+32z-1-cos2θ2=421+cot2θ+2lny+2z=-3…

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

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Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

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Q: 5. 3 If tan B = - with * <B < 2n , find cos (2ß). %3D

A: It is known that in the first quadrant all trigonometric ratios are positive, in the second quadrant…

Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: The value of So" 6 (4+ cos2x)dx is:

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Q: Given that cos ß = V3 find the exact 2 value of cos 2B: Cos 23 3 Cos 23 %D 1 cos 2B 1 cos 2B %3D II

A: Trigonometry Question

Q: 3. Given that cos 30 J3 and sin 4S = 2, without the use of a %3D %3D 2. 2. calculator, evaluate…

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Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

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Q: and 9o c oc 180 Sin e = Gf Cos 2 SUPPOSE that find exact values and tan 2. Cos tan

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Q: Given that cos x = 4/5 and x lies in QIV, determine the exact value of sin x/2

A: Use the formula cos 2θ=1-2sin2θ and substitute x2 for θ and then 45 for cos x.

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

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Q: 2/5 If cos a = and sin a < 0, find the exact value of cos (a +) Show the formulas you are using.

A: The trigonometric function value is given by cosα = 255 and sinα&lt;0 To evaluate : The value of…

Q: 5 1. If sec a with a in quadrant Il and cos B = with B in quadrant IV evaluate: 3 a) sin(a- B) b)…

A: If sec α=-52 with α in quadrant II and cos β=13 with β in quadrant IV, then to evaluate the…

Q: 1 tan z = 3'

A: The value of tanz =13  is given where, π≤z≤3π2 Solution: (a) Now  we have ,tanz =13, So -tanz will…

Q: Which equation can be used to find JL 27° K 13.6 cm 7. O cos(27) = # cos(27) = 114 O sin(27) = # O…

A: It is given that, We know that the side in front of the angle is Perpendicular and longest side is…

Q: b. Given that z = el®, show that z" += 2 cos ne. Hence, show that cos 50 = 16 sint 0 – 112 sin² 0 +…

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Q: If csc(e) 13 and 90° < 0 s 180° , then the exact simplified value of 12 Hint sin(0) = %3D cos(0) =…

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Q: Given 0 < 0 < 2T, solve cos? 0 = 1 – sin 0. - ○ 0, 플, T, 플 2 2 ) 工,T

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Q: if cos A=1/2 with A in QIV find sec A/2

A: Given  We know that

Q: 2. If sin A = -35 with A in QIII and cos B = 5 13 with B in QIV, find the following. a. sin (A + B)…

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Q: 2 =, where 0 < A < , what is the value of cos 4? 2 18+6/5 6. 18+6/5 18–6/5 6. V18-6/5 6

A: Use,  Cos (A) = 2 cos^2(A/2) - 1

Q: 9 Suppose that a cos x = 1 + sin x, where 0° < x < 90°. a a Prove that 1 = t, where t = tan x. a + 1…

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Q: 12 If cos(a) = with T<a<- compute the exact value of the following: 2 cos(2a)=| sin tan)- 2

A: cos(α)=-22 with π&lt;α&lt;3π2

Q: Find z where z = sin (æ²) cos (4²) COS

A: The given function is z=sinx2 cosy2.

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: 2. Given that csc A = v2, A in QI, and sec B V5, sin B <0, find: a. cos (A- B) b. tan (A- B) %3D

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: Prove: sin? xcos?x = - cos(4x). 8.

A: We will use various trigonometric formulas to prove the given identity.

Q: S(x) - e 05 (2 cos 2.x+3sin 2.x) 7. , evaluated at x 1 rad

A: