If sin A = 3/5 with A in QI and cos B = −5/13 with B in QIII, find the following. Express your solution as a fraction.       a. cos A=       b. sin B =       c. sin (A + B) =       d. cos (A + B) =       e. tan (A + B) =

Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, ....…

A:

Q: (a) In(1– x) +xe? (b) 2х 2x 1-cos(x) (d) V1+x-1 Check and briefly explain how to avoid the loss of…

A:

Q: 3 dx \8+7 cos x

A: Given: ∫38+7 cosxdx

Q: Given cos*(4x) – sin*(4x) = cos(g(x)), determine the value of g(x). А. 4х С. 16х В. 8х D. 32x

A:

Q: Solve the following equation for 0 where 0<0 < 360°. sin 0 = 3 4. O 60°, 120°, 240°, 300° O 49°,…

A: Here, we will solve sin2θ=34. Now,                sin2θ=34⇒sinθ=32, sinθ=-32⇒θ=π3+2πn, θ=2π3+2πn,…

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: Solve for the approx- two decimal places. 2 cos (0) + 2 cos(E

A: Given trigonometric equation is: 2 cos2 θ+2 cos θ-1=0 Solving we get, cos θ=-2±22-42-122⇒cos…

Q: uppose that sin x= -1/2 and pi < x < 3pi/2 and that tan y= 5 and 0 < y < pi/2. find the following…

A:

Q: Express cos K as a fraction in simplest terms.

A:

Q: Solve the following equations for 0 < x < 2n. 7. cos x = 3 cos x + 1 8. tan? x = 1

A: According to guidelines we should have been able to solve only one question at a time  #7

Q: OBTAIN THE GENERAL SOLUTION 1. X cos? ydx = + tan ydy

A:

Q: Solve the following equations: a) sin -0 <e< 360 b) sin ở=-.0 <e< 360 e) cos .0 <0< 360 d) cos e-0…

A: Solve the following for θ such that 0°&lt;θ&lt;360° sinθ=45 sinθ=-45 cosθ=45 cosθ=-45 tanθ=45…

Q: Find a particular solution of (;) ;)-(: :) (;) - (*) -5 sint 4 -4t A

A: a = 4  Particular solution:     xpyp=t+cost1+4 sint

Q: The function y = sin 3x with the interval 0 ˂ x ˂ 2, has how many complete cycles in 2? 1 6 3 1.5

A: The given function is y=sin (3x) We have to find the number of complete cycles of the given function…

Q: For cos z cos 3z - sin z sin 3z =0, use an addition or subtraction formula to simplify the equation…

A: cosx cos3x-sinx sin3x=0

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: 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

A:

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: Solve the following items: A) Knowing that h(x) = cos(2x) * ln(1 + sin(x)), determine h'(0) B)…

A:

Q: Given that the Sin a = and lies in Q3, ar Cos y = and lies in Q4, find Tan (x+ y). You %3D will use…

A: Given data: The given value of the sine function is sinx=-3/5. The given value of the cosine…

Q: Solve the following equations over the given interval. 1) 4 cos? x-3 = 0 over [0°, 360°) 2) sin?x +…

A:

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

A: This question can be solved using the concept of integration by substitution.

Q: Solve the following for 0, in radians, where 0s0< 2n. 5 cos (0) – 8 cos(0) + 2 = 0

A:

Q: Solve the following equation with exact solution(s). If there is no solution, enter "NS". If there…

A: Given query is to find the solution of the expression.

Q: ) Solve Hhe following equation for X in [o,27) 2 Sin x -Sin t-1=0

A:

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

A:

Q: 15. (a) Calculate e with an error of less than 10-6. (b) Estimate the error in the approximation…

A: a. Let fx=ex We know that the Maclaurin series is fx=ex=1+x+x22!+... The remainder term is…

Q: 10. What should be the value of A so that S A• sin (6x²) dx = - cos(6x²) + C, ? A. x В. 2х С. Зх D.…

A:

Q: Without using a calculator find the solution(s) to15 = 17 +4 cos that are in10n, 15m %3D

A:

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

A:

Q: a. If the Pressure produced by the gas cylinder of the motor of the rocket is governed by the below…

A: Given: P=sin4(V)cos3(V) W=∫V1V2PdV

Q: Solve for "a" below. Opposite Hypotenuse sin e = Adjacent Hypotenuse cos e = Opposite Adjacent tan e…

A: In right angle ∆ABC The length of the side AB= 6 units and m∠A=65∘

Q: O Find the values x where fe) = t-2 24 cos(2t) has a local min fmax.

A:

Q: 2.) The pressure P of sound waves on a person's eardrum can be modeled by =#cos ( – 1,100) Where a…

A: Given pressure formula is: P = (a/r) . cos [{(2 pi r)/l} - 1100 t]  where a is the maximum sound…

Q: dx = ? 4 sin x – 3 cos x+5

A:

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

A:

Q: 2n e"lao cos² 0 r,? dr sin@d0 $ do = x X = ? 32 παρ

A:

Q: Given that the Sin x = E and lies in Q3, and Cos y = a and lies in Q4, find Tan (x+ y). You %3D 13…

A: Given : sin(x) = -3/5 and lies in Q3 and cos(y) = 5/13 and lies in Q4.   tan(x+y) =…

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

A:

Q: Solve the following equations for x if 0 &lt;= x &lt;= 2p. Use a calculator to approximate…

A: Given:          2−5cos(x+1)=4

Q: Solve the following equation on th e interval [0, 27]. cos x + 2 cos x+ 1 = 0

A: Given : cos2x+2cosx+1 = 0

Q: If sin a cos 31° + cos z sin 31° =0.7, then the value of x, where 0° <x <90°, to the nearest whole…

A:

Q: The answer to this equation is y = (1/5)e^x + {(1 – (2/5)sin x – (6/5)cos x}e^–x Answer this using…

A:

Q: If sin A =2/3 with A in the interval 0° &lt;= A &lt;= 90°, find       sin A/2

A: sinA=23,   0≤A≤90° By using the identity sin2A+cos2A=1, we get…

Q: The numerical value of sinh(n 3) is equal to Select one: a. False O b. True

A:

Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e…

A:

Q: 44 Solve the following problem for x(t): *+12x +40x 3 sin 51 x(0) = (C

A: Introduction: A differential equation is an equation that consists of a function and one or more…

Q: Use the reduction formula a cos(aE) + b sin(r) = Va² 6- sin(a + 0) to find all solutions to: Cos(20)…

A:

Q: After solving the equation e 3y = 2 + cos(x) we get that x equal to :

A: