For the following problem, assume that all given angles are in simplest form, so that if A is in QIV you may assume that 270∘

Q: If z= asen(xy)cos(xy), with a > 0, then the result of simplifying the expression: az əz *əx ây…

A:

Q: If r=In(sin2r), then dr is equal to

A:

Q: Which of the following completes the missing step to the following proof. cos? 0 1- sin 0 = 1+sin 0…

A: We use Trigonometry identities

Q: Which of the following is equal to sin x P

A:

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: 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: If g(x) = x^2 sin(x), then what is g'(5)? Round to the nearest hundredth

A: Please see answer below

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: Suppose sin u=x and u is between 0 and 2. What is cos u? V1- 22

A:

Q: What is the general solution of (sin 8 – 2rcos?0) dr + rcoso (2rsind + 1) de = 0 ? - O rsine p2 cos?…

A:

Q: Given f(x, y, z) = ze™" - a sin none of the choices 02-1/ 02²/ 0 01- ¹(), what is fax (0,2,1)?

A:

Q: With 0 < r < 1, derive the formulae rcos0 – r2 - Ep"cos0 1– 2rcos0 + r2. n=1 and rsino p"sino 1–…

A: According to question given:∑n=1∞rncos(θ)=rcosθ-r21-2rcosθ+r2for complax number z=reiθ when…

Q: If f(x) = 2 sin æ + 9 cos a, then f'(x) = f'(4) =|

A:

Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos e = 1/V(1+x^4) b. sin…

A: As per the guidelines I can solve only one question

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: Given that sĩn = %3D 2 |cos 플 호 and COS %3D sin = cos 4 = show without Ee using a calculator that…

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: In AXYZ, the measure of ZZ=90°, the measure of ZX-20°, and XY = 73 feet. Find the length of ZX to…

A: Use the trigonometric ratio as it is right triangle.

Q: Let h(x) tan(5x + 7). Then %3D h'(4) is and h''(4) is

A: As in question it is not mentioned wheather we have to considered degree or in radian inside…

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

A:

Q: For E =r sin Of +r cos o0+r sin oo, find V E and x E.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: if z sin とこ3r'+25 , Y=4イ-ス3 Z = 2r-35* W= Z Sin %3D * find aw,w ar me' me as

A:

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: Given that f (x) = 3 cos ⁡( x ) − 7 x + 4, evaluate f'(0)

A: f(x)=3cos(x)-7x+4 Note: derivative of cos(x) is -sin(x) and d/dx (x^n)= nx^(n-1) Use the above…

Q: If A=2(1-cos 0)â, – pyâ, (1– cos ¢)â, – ppâ, +zcos² þ⸠, what is 4 8. V•A ?

A:

Q: If f(x) = 7 sin x + 7 cos a, then %3D f'(x) = %3D f'(3) = %3D

A: Given functionf(x)=7sinx+7cosxdifferentiate with respective xf'(x)=7cosx-7sinx…

Q: d d sin(50) = 5 sin(0) do O True False

A: First will differentiate both sides and compare

Q: If /(sin(@))° cos(@)d0 = u' du, then u must be equal to Select one: O a. sin(@) O b. – cos(0) O c.…

A:

Q: for what value of x is cosx 1=5cosx is true

A: Solution: Consider the given equation: cos x .1 = 5 cos x Therefore, 5 cos x = cos x5 cos x - cos x…

Q: Find sin 2x, cos 2x, and tan 2x if cos x = sin 2x = cos 2x = tan 2x = 0 X 3 and x terminates in…

A:

Q: If z = x2 + y? x = e' cos(s) and et sin(s y = ), then

A: ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s Lets find out each derivative z=x2+y2∂z∂x =2xx=etcos(s) ∂x∂s=et…

Q: Suppose that y is an angle with cOs y 4 and y is not in the fourth quadrant. Compute the exact value…

A:

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: Ind a and b entiable everywhere. S7 cos(x) if x < 0 f(x) = %3D ax + b if x 20 a = b = Need Help?…

A:

Q: If P = A sin 0 + B cos 0 and Q = A cos 0- B sin 0, find the value of A2 + B² in terms of P and Q. А.…

A:

Q: For this problem, recall that sin 0 means (sin 0). 1 If sin e find sin 6 sin 6 = 7 1 sin- 0= O sin?…

A: Here we solve the given trigonometry function

Q: If f(x, y)= cos(x +y), then- (+: O a. - sin (x + y) O b. - cos(x+ y) COS O c. cos(x+ y) O d. sin (x…

A:

Q: If P = 2 sin(10t + x − π/4)ay and Qs = ejx (ax − az)sin πy, determine the phasor form of P and the…

A: Given- If P = 2sin10t + x - π4ay and Qs = ejxax - azsinπy To find- Determine the phasor form of P…

Q: Given the functions f:- → R, f (x) = tan x and g: Rt → R, g(x) = cos x. %3D If the two functions…

A: We will find intersection by compairing functions And angle of intersection by Slope method

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 fx= cos³4x Sin 4x,then F(x) + C is ?

A: Consider the given function. fx=cos34xsin4x Now, find the integration of the function.…

Q: Given that cos(2t) = 2 cos (t) – 1, it follows that L{cos"(t)} =;( +:). O True O False

A: We need to find Laplace Transform of f(t) = cos2(t) But , cos2t = 2cos2(t) - 1  ⇒ 2cos2(t) = 1 +…

Q: b) Explain how you would find sin" x cos" x dx if i) m is odd and positive, n is odd and positive,…

A: Solutions

Q: Using an appropriate substitution, f sinº (x)cos'(x)dx is equal to: cosl +C 11 cos 11 O Ths opton O…

A: We will find the integral by substitution as following-

Q: Given that sin x+y3=ax2y, express y' in terms of x and y.

A: Objective is to find y'.

Q: a) By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x- 4 sin'x.…

A:

Q: If the substitution m = 3x - 2y was applied to the DE: =1+tan(3r – 2y), the resulting DE %3D dr…

A: