Find the exact value of the expression using the provided information.Find cos(s + t) given that cos s =1/3, with s in quadrant I, and sin t=-1/2  with t in quadrant IV.

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: Use the information given below to find cos (a+B). 4 with a in quadrant III tan a= 3' - 8. sin B=…

A: Given that: tanα=43, α lies in quadrant III.sinβ=817, β lies in quadrant II

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

A: From the given  Sin( α) = 40/41 and Sin(β) = 15/17  Sin(α+β), Cos(α+β),and Tan(α+β) can be…

Q: Find sin(s−t) given that cos s = 13, with s in quadrant I, and sin t = −12, with t in Qu

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Q: Use the given information to find the exact function value. a) sin 20 1.) cot 0 = - 4, 3n/2 < 0 < 2n…

A: Given query is to find the value of the given trigonometric functions.

Q: 7 Given tan(x) = - and x is in the Quadrant IV. 24 Find the exact value of cos(-)

A: Given that tanx=-724 and x is in fourth quadrant find cosx2 we know the trignometric identities…

Q: Use the information given below to find sin (a+B). 4 with a in quadrant IV 5' cos a=' 4 cos B= with…

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Q: Find the exact value of the given expression. cos(2 tan"())

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Q: Find the exact value of cos 2x given that sinx= - 3 and x is in quadrant III.

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Q: Use the cosine of a sum and cosine of a difference identities to find cos (s + t) and cos (s-t). 3…

A: Given : sin(s) = 3/5, sin(t) = -12/13, s is Q2 and t is Q4.   where,            cos(s) = √1-sin2(s)…

Q: Use the information given below to find cos (a+ß). 4 with a in quadrant IV 5' cos a tan B= 4 with B…

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Q: Use the information given below to find tan (a+B). 5 with a in quadrant IV 13 cos a = 12 sin : with…

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Q: Calculate the following. a. sin" b. cos s*(-) c. tan-(1)

A: Explanation of the answer is as follows

Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-22 -π2≤x≤π2 sin x=-22 multiply and divide by 12 sin x =12  sin x = π4 sin-1-22=π4

Q: Use the information given below to find cos (a-B). 12 cos a = with a in quadrant IV 13 tan ß =, 4…

A: then identity =cos(A-B)=cosA.cosB+sinA.sinB

Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: We will use a unit circle. Unit circle is of the form cosθ,sinθ

Q: Find the exact value of cos 2a given that sin a = x=% and 1 180° < a < 270°.

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Q: 4) cos 0 6V13

A: Topic- Trigonometry ratio

Q: find the exact values of a) sin(2x), b) cos(2x), and tan(2x) with out solving for x if cos x= -1/2…

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Q: Use the information given below to find sin (a+B). 4 with a in quadrant IV 5 cos a= tan B 4 with B…

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Q: Find L[te* cos 21].

A: According to the given information it is required to calculate the Laplace of the given function.

Q: For y = 7 sin(10x), the amplitude is the period is Give exact radians using T.

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Q: Use the information given below to find cos (a+B). 12 with a in quadrant I 13 cos a= 12 cos ß with B…

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Q: Use the information given below to find cos (a-B). 5 with a in quadrant I 13 cos a= 5 cos ß= with B…

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Q: Use the information given below to find cos (a-B). 12 with a in quadrant I 13 cos a= 8 17 with B in…

A: given: cosα=1213, with α in quadrant I sinβ=817, with β in quadrant II we have to find the exact…

Q: Use the cosine of a sum and cosine of a difference identities to find cos(s+t) and cos(s-t).  sin s…

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Q: Find the exact value of the following expression. sin -1(0)

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Q: find cos(s-t) given that cos s=-5/13, with s in quadrant 2, and sin t=8/17, with t in quadrant 2

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Q: Use the information given below to find cos (a - B). 4 with a in quadrant I tan a =- 3' cos ß = 3…

A: Given : tanα = 43, with α in quadrant 1cosβ = 35, with β in quadrant 4.   To find : cosα-β?

Q: Find the value of the cos I

A: Given,

Q: Find the exact value of the expression whenever it is defined.

A: To find the exact value of sin arccos -32

Q: Use the information given below to find tan (a-B). 3 with a in quadrant IV 5' cos a= 4 sinß with B…

A:

Q: Use the information below to find cos (a+B) tan(a)=2/3 with a in quadrant 3 cos(B)=1/5 with B in…

A: where,   cos(a+B) = cos(a)cos(B)-sin(a)sin(B)      ......(1) Given : tan(a) = 2/3 with a in quadrant…

Q: Use the given conditions to find the exact value of the expression. IT a + 6 cot(a): cos(a) < 0, tan

A: Given function is tanα+π6 Given conditions are : cotα=-38,cosα&lt;0

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: Use the information given below to find sin (a -B). cos a = 4 with a in quadrant I 3 with B in…

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Q: Use the information given below to find cos (a+B). cos a = –, with a in quadrant IV 5 4 cos B with B…

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Q: 9. Use the appropriate identity to find the exact value of the trig function given that 5 sin a = 13…

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Q: Use the given conditions to find the exact value of the expression. 3 cot(a): cos(a) < 0, tan (a + 4…

A: Here we use  trigonometric identity to solve the problem.

Q: Q1/ Answer the following: (a) Show that sin¬'x + cos-1x x(x-y) ), where- -> -1 y(x+y) (b) Find the…

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Q: Use the information given below to find cos (a - B). 5 with a in quadrant III 13 sin a 12 cos ß =…

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Q: Find the exact value

A: (a) We know that, coscos-1 x=x Therefore we get, coscos-1-0.5=-0.5

Q: Find the exact value of COs 2x given that sin x = III. and X is in quadrant 25 16 25 7. 25 16 25 3/5

A: Given, sinx=-35 and x is in quadrant III

Q: Use the information given below to find sin (a -ß). 5 with a in quadrant III 13 cos a 15 with B in…

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Q: Use a calculator to solve the following equation for 0 on the interval [0, 1]. cos (0) = –0.133…

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Q: Find the exact value of the given expression. cos 2 tan

A: We have to find the exact value of the expression: cos2tan-1125 We know that cos2θ=1-tan2θ1+tan2θ…

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s + t) and cos (s– t). 4…

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Q: Use the information given below to find tan (a+ß). 5 with a in quadrant IV 13 cos a= 12 sinß= with B…

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Q: For cos x = * with a terminal side in Quadrant IV and csc y = with a terminal side in Quadrant II.…

A: Given that cosx = 8/17 and cscy= 29/21. Now find sin(x+y) and tan(x+y). Here i attached solution of…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.