5 - with A in the 13 Let sin A = third quadrant and cos B =- with B 2 in the second quadrant. Find cos(A-B).

Q: Find the exact values of the following, if they exist. a. cos-1 V2 C. arccos (cos T) b. cos (cos-(-)…

A: (a) cos-122 = cos-112 Let y = cos-112cos y = 12cos y = cos π4y = π4 Hence cos-122 = π4

Q: 30. cos (a – B); sinɑ 2 for a in Quadrant II and cosß = 3 - for ß in Quadrant III.

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 8. Find the exact value of cos 75°.

A: Given cos75°We need to find th exact value of cos75°

Q: -4 If Cos A = 5 %3D of Sin 2A

A: Explanation and solutions is given below....

Q: 2. Use the fundamental identity to write two functions for cos a in terms of sin a. Indicate which…

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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: - and cosß : 12 %3D 13 3n where n< a < and <B< 2n. 6. Given sina = - Draw the triangles, length of…

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Q: exp(exp(-in)) coS TT -1sin Tt -0.3679 - exp(cos Tu i sin Tt) 1 Sin 0.3679

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Q: 1. (a) Use the Wallis cosine formula to evaluate [ cos' x dx.

A: We need to find  ∫0π2cos9xdx by using Wallis cosine formula. We know that,  Wallis formula ,  If  n…

Q: A = %3D (b) If cos (2a) – sin (2æ) = cos( %3D B =

A:

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: 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: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

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Q: V3 d the exact value of cos(ø – 8), given that cos(4) = , and cos(8) = -, where o is in the t…

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Q: - 37 then 4 - If 0 sin(0) = cos(0) =

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Q: 4 where n<A<- 5 Find tan 2A. 2 (c) Given cos A=-

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Q: 4. Find the exact values of the following, if they exist. a. cos-1 2 C. arccos (cosn) b. cos (cos(-)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 1 cos A 13. If with A in QIV, find A sec

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 37 where < < B <2r, find cos (a + B) 2 a<n and cos B = - where Given tan a =

A: We have cosα+β=cos α cos β - sin α sin β tan α=-43⇒cot α=-34⇒cosec  α=1+cot 2α=1+916=2516=±54sin…

Q: Determine the following: a) sin^-1(√2/2) b) cos^-1(-√2/2) c) cos^-1(tan(π/4)) d)…

A: Solution of the problem as follows

Q: 6. 1) cos sin- 7

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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Q: Let sin A 13 12 with A in QII and sin B 3 with B in QIII. Find sin(A + B), %3D - 5 cos(A + B), and…

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Q: 85. Evaluate cos (90° – sin-1) a) + V15 2-V15 b) unde fined c) +V15 4-V15 2-V15 d) + e)

A: Given:

Q: Find the exact value of cos 5p 12

A: We have to find exact value of the trigonometric expression: cos 5π12 Rewriting the given…

Q: If sin A=1/√10 with A in QII find cos 2A.

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Q: Find the exact value of cos(A+B) if sin A = with A in QI and sin B 5 with B in QID = -

A: Given: sinA=35sinB=-513 To find the exact value of cos(A+B) COS(A+B)=COSACOSB-SINASINB COS2θ+SIN2θ=1

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: 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: 15. Find the following EXACT: (a) sin[cos'(2/3)] (b) sin[tan(-6)]

A: We use sin[cos-1(x)]= √(1-x2) and sin[tan-1(x)]=x/√(1+x2)

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: Question in image.

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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: (7) Determine the exact value of cos 4

A: By trigonometry ratio ,we get

Q: 2T Find the exact value of cos 3

A: given :

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: 1. Find the exact value of cos 7x/12

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Q: 4. Determine the exact value of cos 6.

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Q: Suppose that sin(a) = 3/7 and cos(b) =2/8 define in the first quadrant, determine cos(a+b). (round…

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Q: 3. Solve the following trigonometric equation for 0: 2 cos 0 – 5 cos 0 + 2 = 0 -

A: Given equation is 2cos2θ-5cosθ+2=0Let cosθ=xSo, 2x2-5x+2=0We know that for a quadratic equation…

Q: 11T 2. What is the exact value of cos()?

A:

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: 2. Find all possible solutions to the equation 2 cos 0 + v2 = 0. 0 in radians and let k represent…

A: To Determine: find all possible solutions to the equation .Express θ in radians and let k represent…

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: 17. Choose the best answer. (- - ) Ifain ( - ). cos z and sin 3 find cos 2 2 1 2 V3 2

A: Here we have to find the value of cos(pi/6).

Q: 2. Find all possible solutions to the equation 2 cos 0 + v2 = 0. O in radians and let k represent…

A: The given trignometric equation is2cosθ+2 =0

Q: 3. Determine the exact value of cos60° sin30°. a) 2 b) 4 కొ/N d)1

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Q: -8 2. Given that sin a = and 15 12 tan 26 5 where a and 2B lie in the interval Зл, evaluate the…

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Q: 7) Given that tan(a) = with a in QIII and cot(B) = --with B in QIV, find sin(a +B) and cos(2a). %3D…

A: Given : tan(α)=23 with α in QIII and cot(β)=-14 with β in QIV. The objective is to find the value of…