Find cos(arctan(2))

Q: Question in Image.

A: To Determine: Find the exact value :

Q: cos -1

A: Given: cos-122=θ22=cos θ12=cos θθ=π4cos-122=π4

Q: - 1, z = cos-

A:

Q: 1- Determine. 4. Cos 'x sinX dx

A: Given:                     ∫cos4(x) sin(x) dx     Solution:                    Integrating the given…

Q: Find an algebraic expression for cos(arcsin(2x)).

A: To Find an algebraic expression for cos(arcsin(2x)).

Q: Evaluate COs dx

A:

Q: = Cosx (2

A: Using identity sin(a+b)=sin(a)cos(b)+cos(a)sin(b), we will verify the given identity

Q: 6) What is the period of the function f(x) = 7sin(2x) – cos(5)? Is the function g(x) = 7xsin(2x) –…

A:

Q: 2. Estimate cos (– 0.1) + cos 4

A: As per given question  We have to solve above question

Q: (2) Find the exact value of the following: (i) cos-(-) (ii) tan-V3 (ii) 2tan-1+ tan-1, (iv) sec…

A: (i) cos-1(-1/2) = 2π/3 (ii)tan-1(√3) = π/3

Q: Let sin 0 = with A in QIV. Find the exact value of cos 20 %3D 315

A: A is in QIV. There cos is positive  So,

Q: Find the Integrationof {(u) = tanu + Cos 24. %3D

A: Consider the function, fu=tanu2+cos2u

Q: Find the exact value of the expression whenever it is defined.

A:

Q: » find period of 8 ystan 4x @ y.5.cos.so* Cos 10X

A: Given y = tan(4x) Period = π/k where k is coefficient of x Therefore k = 4 Period = π/4

Q: arctan[2 cos(³)] is equal to: COS

A: Given that the expression arctan2cos32. Find the value of arctan2cos32.

Q: Evaluate ∫cos^2 xdx

A:

Q: Prove the identity. cos (x-y) 1+ tanx tany cosx cosy

A: cos(A-B) = cos(A) Cos(B) +sin(A) sin(B)

Q: evaluate

A: Given integral is evaluated as follows.

Q: verify cos(3x) = 4cos^3 (x) - 3cos(x)

A: We know that  cos(A+B)=cosAcosB-sinAsinB Therefore cos(3x)=cos(2x+x)=cos(2x)cos(x)-sin(2x)sin(x)

Q: 2. Express cos(60) in terms of powers of cos only.

A:

Q: Calculate fsin³ a cos° a dx.

A: Let cosx = t Differentiate on both side   - sinx. dx = dt    sinx. dx =  - dt

Q: 2. What is the exact value of cos()? |(0, 1) (글,

A: Graph is symmetrical in -2 to 2. So the midline of function is y=0.

Q: Compute the exact value of cos(-7π/8). Show work

A: Given function cos-7π8 We know that cos-θ=cosθ cos7π8 cosπ-π8-cosπ8 Now using half angle formula…

Q: Compute the exact value of cos (cos 4). COS COS

A:

Q: Prove the identity. cos (n+x) cotx cos 2

A: Some of the important identities of the trigonometric is given by  cos(A+B)=cosA cosB-sinA sinB…

Q: en(cos (Tix)e) + हाक %3D COS

A: Given that y=ππx ln(cos(πx)e)+sin3π5,   we have to find implicit derivative of y.

Q: Let tan A = 12/5 with A in Q1. Find exact value for cos(2A)

A:

Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: 2. cos(arctan(1)) =

A: cosarc cosx =x

Q: Prove the identity: cos4x - sin4x = cos2x

A:

Q: 7. Evaluate Arc cos(j2).

A: It is principal value.

Q: If cos (alpha + beta ) = 0 , then sin (alpha - beta ) can be reduced to ?

A:

Q: Estimate cos(π/4 - 0.1) + cosπ/4

A: Solving

Q: find ALL Radian Solutions for x: Show ALL Work: cos (4x) = -1

A:

Q: Evaluate COs 2 4 – x² dx

A: use the property of even function and odd function to evaluate the integral.

Q: Prove that csc2A tan(2A) = 2cosA/cos(2A)sinA

A:

Q: cos(1339x) cos(1337x)+ sin(1337x) sin(1339x) =?

A:

Q: Find cos if sin = 1/2 terminates in QII

A: Given data:     The given value of the trigonometric identity is: sinθ=1/2.     Evaluate the given…

Q: Find the exact value of cos^-1(sin (7π/6))  show work

A: cos-1(sin7π6)nowsin7π6=-12

Q: EVALUATE | cos (bx'/) dx

A:

Q: If tan θ= √2/5 and π (less than) θ (less than) 3 π/2, find the exact value of cos 2 θ

A: Given tanθ=25   If π<θ<3π2 then  cos2θ=?

Q: 2 Arc cos (1- y=

A: Given,   y=2arccos1-x2+4x-x2.   It is differentiated as follows:…

Q: Find the exact value of sec(arcten 2/3).

A: Let a = arc tan 23. Then       tan α=23 Using; 1+tan2 α=sec2 α⇒sec α=±1+tan2 α

Q: Differentiate  cos(t^2 - 6)

A: Given: cost2-6

Q: Verify the identity. cos (x+n) = - COSX

A: By using trigonometric formula, we verify the given identity

Q: Verify the identity: sin2xcotx-cos2x=1

A: Given that, The identity is, sin2x cotx - cos2x = 1 we have to prove it.