Evaluate in degrees without using a calculator.      a. sin−1(1/2) = °      b. cos−1(1/2) = °      c. tan−1(1) = °

Q: Evaluate the expression under the given conditions. sin(e - +); tan(8) = 2, e in Quadrant III,…

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Q: Find sin(s - t) given that sin s= -5 with s in quadrant IV, and sin t= with t in quadrant II.

A: Given data:     The first given value is: sin s = -1/2. The second given value is: sin t=1/4.   The…

Q: a) Show, from 1st principles, that if a small angle x is measured in radian, then: i) ii) sin x = x…

A: take a triangle as below :

Q: 4. The amplitude of the function y = 2 tan 2x + 2 is 2. 5. If sin 0 > 0 and cos e < 0,0<es 360°,…

A: Question is solved.

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

A: Let's find.

Q: (f) If /2 tan a+1=0 and cosa >0, determine without the use of a calculator and with the aid of a…

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Q: 8 Find the exact value of cos (2a) given that sin a = and a is in quadrant II. 15

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Q: Find an approximate value for cos46∘.

A: Taking We approximate

Q: 3. Find the period and amplitude of: y = 4 + +cos (x)

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Q: Evaluate the expression under the given conditions. sin(0 + q); sin 0 = 8 0 in Quadrant I, cos o = -…

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Q: Given sin B = -t3, where 270o ≤ B ≤ 360o, express cos B as a function of t.

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Q: If sin(θ) = 0.788, then what is the approximate value of csc(θ)?   1.269   4.717   0.212   0.788

A: Given that sin(θ) = 0.788 To find the approximate value of csc(θ)

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

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Q: Evaluate the expression under the given conditions. sin(0 + p); sin 0 = ₁ 0 in Quadrant I, cos p = -…

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Q: Find r to the nearest minute. a) sin x 0.242 %3D

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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: Determine the exact value of sin(x y) given the information below: <x < TT, <y< 2T, cosx = - -<y<2T,…

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

A: Given, t is terminal points on the unit circle shown in the figure. t increases in increment π6

Q: 1. If sin 0 =, find the exact value of the following, with <0<T. %3D а. Cos e

A: Given:          sin θ = 45,   π2≤θ≤π

Q: Express the given quantity in terms of sin x and cos x.

A: We can solve this by using the difference formula of sine function . The difference formula of sine…

Q: Evaluate the expression under the given conditions. sin(0 + q); sin(0) = 8 0 in Quadrant I, cos(@) =…

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Q: Eliminate the pavameter from. the follawing. X()= cos (2f) Sint

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Q: 4. Find the value of cos (A+B) for A terminating in quadrant III and B terminating in quadrant IV…

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Q: Given sin B = -t3, where 270o ≤ B ≤ 360o, express cos B as a function of t.   Show on your exam…

A: Given sin B = -t3, where 270o ≤ B ≤ 360o, express cos B as a function of t.

Q: ) Calculate sin?x cos x dx

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Q: Evaluate the expression under the given conditions. sin(0 + 4); sin 0 = e in Quadrant I, cos p = -…

A: We can solve the given problem using concept of trigonometrical identity.

Q: What is the exact value of cos²(165°)? Show your work for full credit.

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Q: When t = 0, AP = ..... so sin t will begin at a value of 0. As t increases from 0 to 7T/2, sin…

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Q: Evaluate the expression under the given conditions. 5 O in Quadrant IV, tan(@) cos(0 – 4); cos(0)…

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Q: intoyral (1+35)e² Sin} dz , Evaluate the two awhere Ĉi131= h, by any methods and compare the esulk.

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Q: Find ton A and sin 0 Given: CoS 0- 2. and Sin OLO 3.

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Q: (a). Simplify the following by using Demoiver's theorem. (1- cos 0 +i sin 0)* (b). Examine the…

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Q: Find the values in : @ sin (cos' ( E)) @ sec(cos' t)

A: Given: (a)  sincos−122=?(b)  seccos−112=?

Q: 4. Determine the value of sin 56° to four decimal places. C. 0.5218 a. 0.2736 b. 0.3115 d. 0.8290

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Q: What is the frequency of the periodic function f(x) = 5 sin()?

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Q: What is tan(a) equal to if sin(a) = 0.2 and cos(a) is negative? Round your answer to the nearest…

A: Given : If sin(α) = 0.2 and cos(α) is negative.   cos(α) = √1 - sin2(α) = √1 - (0.2)2 = √1-0.04…

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

A: Find sin(alpha-bita)   When tan(alpha)= 12/5 in third quadrant  And cos(bita) = 12/13 in first…

Q: express the given quantity in terms of sin x andcos x. sin (2π - x)

A: expression in cosine and sine form of sin2π-x We used identity:  sinA-B=sinA cosB-cosAsinB

Q: The value of (cos x sin xdx =

A: It is definite integration problem.

Q: Find the exact value of the expression. V2) -1 cos sin 2.

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: Find the extrema of the function on the given interval, and say where they occur. 11) sin x + cos x,…

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Q: The refractive index n of a piece of glass is related to the critical angle θ by n = 1/sin θ. Assume…

A: The critical angle of a piece of glass is measured to be θ=0.70±0.02 rad. Justification: The form of…

Q: Match the trigonometric function in column A to its sample graph in column B A. 1. Sin (x) 2. Cos…

A: To match the given trigonometric function with the graphs.

Q: A 10-cm copper wire with one end in an ice bath is heated at the other end, so that the temperature…

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Q: Find the acute angle 0, to the nearest hundredth of a degree, for the given function value. sin 0 =…

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Q: 9. Find the value of the five circular functions under the given conditions: a. cos s = , sin s > 0…

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Q: Use the given information to find cos(x+y) . 1 1 cos(x) : , x in quadrant III, sin y 3 , y in…

A: Explanation of the answer is as follows