sin(a ± B) cos(a ± ß) tan 2a and tan 2ß

Q: Given that sin(a) = 2/5 and cos(b) = − 1/3, with a and b both in the interval {pi/2,pi),find the…

A: Explanation of the answer is as follows

Q: Use a ratio identity to find tan e given the following values. 3/13 2/13 e = sin 8 = and cos 13 13…

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Q: Evaluate the expression under the given conditions. 3 tan(20); cos(0) 2, 0 in Quadrant I

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Q: If 2 cos a+1=0 and sina <0, determine without the use of a calculator and with the aid of a diagram…

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Q: 2. Given csc 0 = -3 and cos 0 < 0, find the exact values of the remaining five trigonometric…

A: we have to find all other 5 trigonometrical function

Q: Find the exact value of cos α = 8/17, α lies in quadrant IV, and sin β = - 1/2, β lies in quadrant…

A: Given that α is in 4th quadrant. There sinα will be negative.  Given that β lies in quadrant III,…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) = x in Quadrant I

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Q: Given that sin(a)= 3/4 and cos(b)= -1/3, with a and b both in the interval [pi/2,pi) find the exact…

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Q: Find the exact value of tan α = - 4/3 , α lies in quadrant II, and cos β = 2/3, β lies in quadrant…

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Q: Given sin 0 = 2, where tan 0 < 0, determine the value of tan 20 O -24/7 24/25 O 24/7 O -24/25

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Q: Given: tan a = 216, 3 5' cos ß = αε[0,π] sin ß<0 Find the numerical value of: 1. tan 2 B

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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: Given: sin 0 = , where 0 < 0 < 90 17 Find: cos 20

A: See the answer below

Q: If sin A = 3/5 with A in QI and cos B = - 5/13 with B in QIII, find sin (A + B), cos (A + B), and…

A: Given: sinA=35, cosB=-513 here, A is in first quadrant and B is in third quadrant  we know that in…

Q: Find sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(B). 4 7

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Q: Given that sin(a) = 2/3 and cos b = -(1/4)  with both a and b in the interval [pi/2  , pi).  Find…

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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: Given cos 0 0 < 0 < Find the EXACT values of the following sin 20 cos 20 tan 20

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Q: Find the exact value of the following under the given conditions:a. cos(α + β)   b. sin(α + β)   c.…

A: given: tanα=-34, α lies in quadrant II cosβ=13, β lies in quadrant I we have to find the exact…

Q: 4 Given: sin0 = 3T and t <0 < - Find the exact value of: tan20 24 A) 7. Mr. Johnson 15 B) Mrs.…

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Q: 1. Given sin B =in QII, and (6, -8) is on the terminal side of a, find the exact value of sin(a +…

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

Q: tan a =15/112, π < a < 3pi/2, and cos β = -12/13, pi/2 < β < π, find the exact value of sin ( a + β)

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Q: 6. If sin 0 and <e<n, find the following. %3D a. sin e b. cos C. tan 612

A: We need to find trigonometric angles.

Q: Given sin 0 =, , where < 0 < , determine the value of cos () 3/10 10 V10 10 V10 10 3/10 10

A: topic - trigonometric ratios

Q: given cosθ =3/5, 3π/2 ≤ θ ≤ 2π and sinβ= -12/13; π ≤ β ≤ 3π/2; determine the exact values of the…

A: Topic:- trigonometry ratios

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 15 O lies…

A: We find here trigonometry value.

Q: 1. If sina =, with <A<R and tanB , with <B<= determine the exact value of 2 a) sin( A+ B)

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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: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: Topic:- trigonometry ratios

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

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Q: Find the exact value of the given expression. sin(2 cos() 8. 17

A: At first,The value of cos-1(8/17)=1.0808 is needed to be calculated by a calculator.

Q: Find the exact value of the following under the given conditions:a. cos(α + β)   b. sin(α + β)   c.…

A: Given sinα=35 and sinβ=513, where α lies in quadrant I and β in quadrant II. In quadrant I, all…

Q: Find the exact values of sin 2?, cos 2?, and tan 2? for the given value of ?. cos ? =  4 5;    0° <…

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Q: Find the exact value of cos(α+β)​, given that sinα=−2/3 and sinβ=1/2​, with α in quadrant IV and β…

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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: 1. Given sin 8= in QlI, and (6, -8) is on the terminal side of a, find the exact value %3D of sin(a…

A: Given: sinβ=513, β is second quadrant and pointα6,-8 lies on fourth quadrant We know that in second…

Q: 3. For acute angle 0, we have that tan 0 = 2. Provide the exact values of each of the following…

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Q: Convert 5 + 2i to its trigonometric form, that is r(cos+ i sin 0) where is in radians to 3 decimal…

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Q: Find the exact value of the expressions cos(a B), sin(a + ) and tan(a B) under the following…

A: To calculate the value of the expression cos(α+β), sin(α+β) and tan(α+β) under the provided…

Q: Given that cos 0 = <0 <n, find the exact value of each of the following. 3 (a) sin (20) (b) cos (20)…

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Q: which of the following is equal to 1? a. tan20 + sec²0 b. -cot?e + csc²e c. sin?O tan²O d. sin?0 –…

A: Answer: b.-cot2θ+ csc2θ

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

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

Q: 9. Given sin 0 =i and cos 0 < 0, evaluate the following. a. cos 0 b. cot 0 c. cos(20)

A: Consider the following value: sinθ=16 Consider the following trigonometric identity:…

Q: -what is sin(0)

A: Given that : The equation is cos θ = 27  and θ is in the first quadrant.

Q: Given tan(a +B) = - and sin a = where P(a) is in QII. Find the value of tan 3 if it is in QII. 16 No…

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Q: Find the exact value of cos 0, given that sin 0 -i and 0 is in the third quadrant. 11 %3|

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Q: Use the given information to find the exact value of: a. sin 2θ   b. cos 2θ   c. tan 2θ.

A: Given: sinθ=-23, θ lies in quadrant III. To determine: The exact value of  a. sin2θ b. cos2θ c.…

Q: Given the identity: 1-sin'x = sin?xcot'x %3D a) Verify numerically when x = 2.5 radians. b) Explain…

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

Q: Find the exact values of sin 2a, cos 2a, and tan 2a given the following information. 15 tan a = 270°…

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Q: 14. Find sin 0, given that cos0=Y,and tan 0 <0. V5 V59 a.- 8 5 C.- 8 d

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