You are given that sin(A) = , with A in Quadrant I, and sin(B) with B in Quadrant IV. Find sin(A – B). Give %3D your answer as a fraction.

Q: Set up a trigonometric ratio from ZH to solve for x. H U 14

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Q: a L{sin at} = s2 + a?

A: We have, Therefore,

Q: In AXYZ, the measure of ZZ=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ZX?

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Q: 59. Find (a) {e-t sin? t},

A: Let's find.

Q: 9) cos e 270

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Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: S sin? x dx

A: ∫sin2xdxUse the identitysin2x=1-cos(2x)2∫sin2xdx=∫1-cos(2x)2dx                 =12(∫1dx-∫cos(2x)dx)

Q: Solve the following D.E y tan X Cos X %3D

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Q: 10T cos e do =

A: We need to evaluate the definite integral. We know that integral of cosx is sinx. The solution of…

Q: find the exact values of t, if 0≤t≤2π and sint=(√3/2)

A:

Q: If sin z cos? z and if y = 0 when x = pi/2, what is y(0)? Express your answer as a fraction. %3D

A: Given: dydx=sinxcos2x,   yπ2=0

Q: below. Ente an Wer to in nearest thousandth. 6 A cos A =

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Q: b) Find the value of sin x dx

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Q: e cos a sin a da

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Q: Find sin t and cos t for the given value of t. t = 600°

A: We use ASTC rule for trigonometric ratios.

Q: Find sin t and cos t for the given value of t. t = 150°

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Q: Find a particular solution Yp = A cos wt and enter the amplitude factor A rounded to 4 decimal…

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Q: Match the ratios for sin X, cos X and tan X.

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Q: Given sin(a) and a is in quadrant IV and cos(3) V and 0 < B < T/2. Use sum and difference formulas…

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Q: Q1/ Find L{sin(at + b)}

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Q: The S- 3 dx is 5 sin 6x

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Q: 3. cos?wt

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Q: If y= sin?t+ tant, x =- In(-cost) - e sinr, find the value of y' when t= 2/3 A V2-e ? B 6/2 2-Vze 2…

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Q: The value of ∫ is 0

A: Given:The given function is f(x)=sinx2To find:The value of integral ∫22sinx2 dx

Q: Find a particular solution Yp A cos wt and enter the amplitude factor A rounded to 4 decimal places.

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Q: Find L(sin? at)

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Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: 1. S-10 sin 5x dx

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

Q: 75 cos a sin? zdx=

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Q: The value of sinh ja is equal to а. О b. -1 c. j d. 1

A: Answer

Q: C Match the trig function with the correct ratio. 4 sin A = cos A = tan A = 3

A: Correct ratio

Q: find dr/dθ r = 4 - θ2 sin θ

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Q: Find the equation of the function below. 411 sin(z)+

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Q: expand the formula for sin(A+B)

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Q: The value of sin nx dx is a) b) 1 c) 0 d) None of these

A: Solution: The objective is to find the value of the given integral

Q: Evaluate in degrees without using a calculator.      d. sin−1(1)

A: Given problem:- Evaluate in degrees without using a calculator.        d. sin-1 (1)

Q: (b) If y = sin (m sin -x), find the value of (yn)o .

A: (b) Given that y=sinmsin-1x

Q: In AXYZ, the measure of ZZ=90°, XZ = 63, ZY = 16, and YX = 65. What ratio represents the sine of X?

A: First sketch a triangle for the given measures as shown below.

Q: To approximate the value of sin44° , we will use y=sin What must be the value of dy ?

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Q: Evaluate the expression under the given conditions. sin(0 + 6); sin e =, 0 in Quadrant I, cos é = -…

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Q: Using trigonometric substitutions, S xv16 - 16 dx is equal to: - x2

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Set up a trigonometric ratio from ZD to solve for X. H. U 14

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Q: Simplify the lefthandside so that LHS RHS: %3D sin(a) sin(a) cos(a) – 1 cos(a) +1 tan(a)

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Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: If cost =3/7 and t is in 3rd quadrant, then sint is

A: If cost =3/7 and t is in the 3rd quadrant, then sint is?

Q: Find the value of x. Round to the nearest degree. 1. 2. 3. 14 of 13 of 5n

A: The given triangles are right angle triangles. (a) The value of angle x is calculated as,…

Q: The expression D (sin x) is equal to sin ( x + 2. 学)

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Q: find dr/dθ r = θ sin θ + cos θ

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Q: Find the equation of the function below. 411 201 31 sin(z)+

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Q: Evaluate: sin? (2x) dx Round your answer to the nearest hundredth.

A: We will use reduction formula in this question.

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.