If sin x + sin y = ½ and cos x – cos y = 1, find x.

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: If cos (x +) + sin (x- ) = A, then the number A is equal to А. —2 В. — 1 С.О D. 1

A: compound angle formulae of trigonometry.

Q: Suppose cos(x) = and sin(y) = where x terminates in Quadrant I and y terminates in Quadrant II. Find…

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Q: If sec A = V37 with 0° SA S 90°, find sin 2A and sin 4. sin 2A = sin

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Q: B. For the given values of the variables, verify that the equation is not an identity. 3. cos 2x = 2…

A: 3. Given cos 2x = 2 sin x, for x = 30o Formulas: cos (60∘) =1/2 sin (30∘)=1/2 Consider, cos 2x = 2…

Q: 9) cos e 270

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Q: A coil of inductance 1 henry and a resistance of 20 ohms is connected to an emf E= 200 sin(20t),…

A: Given  L=1 henry R= 20 ohms  E= 200 sin(20t)

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: Folve for fe sin x dx in the equation fe sin z dz = e sina+ e cos r - - See sin a dr +C

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

A: Explanation of the solution is given below...

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: What constant values must B and C have for the following to be true? 3 sin(2t + t/4) = B sin(t) + C…

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Q: S"cos(In x) dx=D? Hide answer choices A 1/(cos 1) B) sin(e) c) 1/(sin 1) (D) sin 1

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Q: Given sinh(r) = then tanh(r) = Select one: a. b. + C. + d. OS Shot by Hisense H12

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Q: If x= cos 50 and y = sin 50 , then dx 18 %3D a. - cot 50 b. - 5 cot 50 C. 5 tan 50 d. -5 tan 56

A: Differentiate both equations x & y separately and take their ratio.

Q: If the solution to ſe2* sec²(e²×+1)dx is equal to k tan(e2x+1) + C , find the exact value of k.

A: We know, ∫sec2(x)dx=tan(x) ddxemx=memx

Q: Given sin(a) - and T < a < 3/2 and cos(3) 24 and 0 < B <T/2. Use sum and difference formulas

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Q: If sin (x – -) = A cos x, then the number A is equal to A. π С. О В. Е D. –1

A: Given that sinx-π2=A cos x

Q: (b) Find the value for 0, where e e [0°; 90°), correct to 1 decimal i. 4 sin e = 1 i. tan (0 – 25°)…

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Q: Find the exact Valve Sin (a-B); Sin a = for Cos B= 12 for B in Quadrant IV a m Quacront II and 73

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Q: Given sin(a) = and 0 < a <T/2, find the exact value of sin(a/2).

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

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Q: If sin A = 3/5 with A in QI and cos B = -5/13 with B in Qull, find the following. Express your…

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Q: Match the ratios for sin X, cos X and tan X. 7 Y 4/2 sin X DRAG & DROP THE ANSWER Cos X 4/2 tan X…

A: The triangle is given by To evaluate : The ratios for sinX , cosX and tanX

Q: es (or+.1). COS Using P, (x), eshimate cas

A: In the question it is provided a function fi=cosπ+i The objective is to estimate the above function…

Q: If cos 0 = -- and T < 0 < 3, what is the value of cos () ? 3 V14 V 14

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Q: 2. Which equatien will sllewes to sahve fer x? a sin 40= b sin 40 C. Cos 40 d. cos 40 e t 40= L t 40

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Q: Why does eix=cos cos x + i sin sin x ?

A: To prove , or justify the identity exp(ix)= cosx+isinx

Q: The solution of y' cos2(y – x) +1 is given by - (A) sin(y- x) - x c (B) tan(y – x) – x = c (C)…

A: Solution given the differential equation  dydx=cos2 y-x+1 →  1

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: 3) Find sin(s+ t) given that cos s = with s in quadrant I, and sin t = - with t in quadrant IV. 2

A: We are solving the first question and for the next question post the question again and also mention…

Q: Find (a) sin(?) and cos(?), (b) tan(?) and cot(?), and (c) sec(?) and csc(?). Assume x = 7, y = 9.…

A: First we shall solve the given trianlge. Now we shall find the third side using pythagorus theorem.…

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

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Q: Use the information given below to find sin (a-³). 12 tan a = with a in quadrant III I 5 3 cos B =…

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Q: Given sin(a) = and 0 < a < T/2, find the exact value of sin(a/2).

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Q: If sin A = 3/5 with A in QII, find the following. Express your solution as a fraction.      a. cos…

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Q: Given Cos(a) = and 0 < a < T/2, find the exact value of Cos(a/2).

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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: Given: csc x = -,PE Quadrant IV, tany y e Quadrant I. Find: sin(x - y), cos(x - y) and tan(x+ y)…

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Q: ] . Find cos(20). T Let sin(0) = ,with 0 E 0,

A: The basic formula used in this question is- Cos(2x)= 1-2sin2x

Q: If 0 ≤ t &lt; 0  π/2 and sin t = 7/8 is given. Use the Pythagorean identity sin2 t + cos2 t = 1 to…

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Q: For cos x– sin y= , find the value of k so that ky"= – 1 at y=- 2 2 4 2

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Q: 1- Find and if u = e cos , cos (r sin 0)

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Q: find dr/dθ r = θ sin θ + cos θ

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Q: E 13 N 12 A

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Q: Given that sin(a) = and cos(b) 5 with a %3D 4 sin(a + b) = %3D cos(a - b) = %3D

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Q: 4. Evaluate the following and give the exact value: r2 cos e crsin e r? cos 0 dz dr de 2 sin e

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Q: (cos x cos y – cot x)dx – sin x sin y dy = 0

A: Given Equation  (cosxcosy - cotx)dx-sinxsinydy=0 Given equation is in the standard form Mdx+Ndy =0…

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