12 If cos(a) = with T

Q: Eliminate n from their equations  X= sin n + tan n and y=sin n - tan n

A: With the help of trigonometric identities we eliminate n from the equations.

Q: 20 What is the frequency of the periodic function f(0) =2 tan()? O 2 5 sin(-), What is the frequency…

A: Given f(θ) = 2 tan(2θ/3) Frequency of tan θ is 1 For f(θ) period is  π/(2/3) = 3π/2 Frequency is…

Q: 4. If cos(x) = -, and x lies in the 3rd quadrant, find tan(). -2 2.

A: Given query is to find the value of indicated function.

Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

A:

Q: 7. Find the exact values of: a) sin ¹(1) b) tan-¹(0) 5-¹ (13) 2 COS

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Q: 2. If tan x = Find the sin x and cos x in the interval xe [n. : XE T,

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Q: 3. If cos x =- Find the sin x and tan x in the interval 13 XE

A: Given:        cosx=-513  we know that                      cosx=adjacenthypotenuse…

Q: If x = 3 sin(0), then а. V9 + x? cos(8) 3 b. cos(x) Vx2 + 9 C. tan(x) d. cot(x) = 3 || е. sec(x) 3 O…

A:

Q: 28. Cos xdx

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

Q: 13. Find the value of tan 0/2, if sin e=-4/5 and 0 in QIII. 1/2 2+V3 -2

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Q: 7/2 S 3 cos (x) sin°(æ) dx =

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Q: 1. f/² sin () cos (+) sin (²) d dx (Consider initially the first 2 terms)

A: We have to use the formulas for 2sin(A)cos(B)-sin(A+B)+sin(A-B) and 2sin(A)sin(B)=cos(A-B)-cos(A+B).…

Q: If cos x is replaced by 1 - (x2/2) and |x |<0.5, what estimate can be made of the error? Does 1 -…

A: We’ll answer the second question first. Notice the question have used first two digits of Maclaurin…

Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

A:

Q: 2x, given tan x= 2 and cos x is less than 0

A: Given tan x = 2 and cos x < 0.

Q: 1. y = In (3 – 4 cos x) + (4x – 5)5

A: 1). Given function is y=ln3-4cosx+4x-55. To find: dydx Solution: Power rule of differentiation…

Q: 3- If a y + sin y + arctan a = sin 1 then what is the value of at (0,1)? dz -2 b)- 1+ cos 1 -1 1 a)…

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Q: 3 Find sin 2x, cos 2x, and tan 2.x if cos.x = and x terminates in quadrant II. V10 sin 2x %3D

A: given

Q: 2. Write –2 cos x – 3 sin x in the form R cos(x – a) with -7 < a < T. Round to three decimal places.

A: Answer is given in asked form.

Q: (a) Show that cos(x²) > cos x for 0 ;. 1

A:

Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: 6) If sin 0 = 0.2774, find cos 0. Round to four decimal places.

A: Given: sinθ=0.2774

Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

A:

Q: 3. If cos x = 5 Find the sin x and tan x in the interval 13 xe 1]? X€ ,π

A: Given that: cosx=-513and x∈π2, π

Q: S cos ( x^3 ) dx = * sin ( x^3) + c 3x^2 sin (x^3 ) + c - sin (x^3 ) + c - 3x^2 sin ( x^3) + c none…

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Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx=- and x terminates in quadrant II. 17 sin 2x cos 2x %3D…

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Q: b. Express tanh x in terms of e* and e-* and hence show that 2 tanh x tanh 2x = 1+ tanh? x' c. Given…

A: (b) To proof :   tanh2x=2tanhx1+tanh2x It is known that, sinhx=ex-e-x2coshx=ex+e-x2 so,…

Q: 3 8) 1--sin (2t) = sin' (t) + cos (t) sin(t) + cos(t)

A: Given,            1-12sin2t=sin3t+cos3tsint+cost

Q: IFS(x) = - sin(x), then S ® (1) is equal to - sin(x) B) - cos(x) sin(x) O cos(x)

A: We have to solve

Q: 15 Find sin 2x, cos 2x, and tan 2x if cos.xr= and x terminates in quadrant IV. 17 sin 2x cos 2x !!…

A:

Q: 1- cos(0) (d) de sin (0)

A: We have to find integration

Q: If y=-cos x, what is x-value between pi and 2 pi corresponding to y-value of 1/2

A: Let's solve  for x value.

Q: 4 cos (2x e function f is defined by f (x) values of x on the interval (0, 3 such that the line…

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Q: 1 COS 4 Now, differentiate f'(x) with respect to x. - 4 -x* sin(x4) f"(x) = -x°•si Submit Skip (you…

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Q: sin x and coS x are periodic functions with period Tt. True False

A: Given statement is "sinx and cosx are periodic functions with period π."

Q: 2. If sin x cos x + sin 2x =1 what are the values of x

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in quadrant II. 17

A:

Q: 4. Use Walli's formula to evaluate 2 sin*x cos°xdx.

A: Given integral is as below:-                  ∫0π2 sin4xcos9xdx

Q: 10. Evaluate cos x sin² x dx

A:

Q: ♫♫¹⁄² sin (*) cos (*) sin (²) dx (Consider initially the first 2 terms)

A: Solving the definite integral.

Q: 4. Find the exact values for each of the following. а. sec-1 b. sec-(-V2)

A: The detailed explanation and answer is given below:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 17 sin 2x cos 2x tan 2x…

A: Given cos x = 1517 and x terminates in quadrant Iwe find Sin 2x , Cos 2x, tan 2xwe know that in…

Q: 5. If x = 3tan 0, find sin e in terms of x.

A:

Q: Find cos (0 + p) given that cos 0 = 2 and cos p = 2 and that 0 and p are between 0 and t/2.

A: For the given values of  Cos(θ)=1213 Cos (ϕ) = 35 Cos(θ+ϕ ) is evaluated as shown below

Q: 3. When e is in standard position and its terminal side passes through the point (4, -2) Find the…

A: Given: θ is in standard position and its terminal side passes through point (4,-2)

Q: 9. Prove that | sin n0/sin 0| <n, limiting values being used when sin e = 0.

A:

Q: 1 3. a) Verify that sin x cos x = tan x--- π for the value x =-. 4 Ls Sin 4cos 4 2.s TanT/4-Y2 しS…

A: We can use the concept of trignometrical ratio in order to solve the given problem.

Q: Find the exact simplified value.

A:

Q: 2. Solve for the fundamental periodic and sample of the equation: x(n) = 2 cos 3. %3D

A:

Q: Find cos (0 + p) given that cos 0 = and cos p = and that 0 and p are %3D between 0 and n/2.

A: