For all values of α for which the expression is defined, tan(2α)/cos^2(α)= ?

Q: The derivative of any constant is 0. The well-remembered triq identity tells us that sin2(x) +…

A: To verify that sin2(x) + cos2(x) is a constant, we need to show that the derivative of sin2(x) +…

Q: 14. Find the smallest positive root of tan x+2 tanh x = 0.

A: Newton Raphson Method:- The root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given equation is tanx +2…

Q: Find an upper bound on the error that can result if cos(æ) is approximated by 1– (x/2!) + (x*/4!)…

A:

Q: Locate and identify the absolute extreme values of a. ln (cos x) on [-pai/4, pai/3], b. cos (ln x)…

A: a.Given:

Q: evaluate using the appropriate method or combination of methods.

A:

Q: cos 2x +1 sin 2x Prove that Please show proper steps sin 2x 1- cos 2x

A:

Q: 2) VERIFY THE IDENTITY sin +0 =-cos 0. 2.

A: We need to verify the identity.

Q: The suitable substitution to evaluate / sin²4(x +2) dx is (1- cos8(r + 2)] [1+cos8(x+2)] None 1 [1-…

A: We have to find the suitable substitution to evaluate the following integral -  ∫sin24(x+2) dx

Q: A periodic function is defined in one period as |-sin(폭),-2sx<-1; f(x)={ 1 [x+1, -18x50.

A: In this question, we draw the function in a given domain and find the Fourier series of the…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - 4 - cos(x) > 0 sin(2x) =…

A: Answer

Q: Suppose: sin(x) = -0.6638 cos(x) = 0.7479 tan(x) = -0.8875 Then, sin(-x) = 0.6638 cos(-x) 0.7479…

A:

Q: What values of x in the interval [0,2pi] satisfy 2 + 2cos(x) - sin2 (x) = 0

A:

Q: Find the upper bound on the error if tan (2x')~ 2x and x< 0.2 -1

A:

Q: Evaluate ∫sin2 x cos4 x dx.

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx=- 1 and x terminates in quadrant II. sin 2x %3D cos 2x %3D…

A:

Q: Compute : , log,(cosx) d dx - sin x A. (In 2). cos x 1 B. (In2).cosx -(In 2). sin x C. COS X -In2 D.…

A:

Q: Verify the identity. cos x = sin x sin 2x + cos x cos 2x

A: we have to verify the identity

Q: Locate and identify the absolute extreme values of cos (ln x) on [1/ 2, 2].

A:

Q: if tant=2/3 and 0<t<90degrees what is the exact value of cos(-t)?

A:

Q: If f(x) Files = Time left 0:5 sin²x and g(x) = 1 + cos²x, how are f'(x) and g'(x) related? Maximum…

A:

Q: 1- sin2x/1+cos x=cos x. Verify the identity

A: The given identity:

Q: Solve 4 tan x * cos^2 x = 1 for 0 ^ 0

A:

Q: Find the value of cos(4x) if = 4. 3 1-cos(x)-sin(x)

A: trigonometry

Q: Use false position method to find the root of f(x) = e* (3.2 sin x - 0.5 cos x) on the interval…

A: We need to find the root of fx=e-x3.2 sin x-0.5 cos x The given interval is 3,4 Also, we are…

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: cos 2x +1 sm 2x Prove that Please show proper steps sin 2x 1- cos 2x

A: We know the formula (1) 1+cos(2x)=2cos2x (2) 1-cos(2x)=2sin2x (3) sin(2x)=2sinxcosx

Q: solve for allvalues of x in the interval 0 ≤x≤2π:  2-2sin^2 x+3 cosx=-1

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given tan(x) = -, cos(x) > 0 %3D sin(2x) = %3D cos(2x) =…

A: Given: tanx=-16,   cosx&gt;0 sin2x can be calculated as, sin2x=2tanx1+tan2x          =2×-161+-162…

Q: find solution set of tan-1x-cot-1x=cos-1(2-x)

A:

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 COS X = 5' * csc x < 0 sin 2x = cos 2x…

A: We answer the questions as below.

Q: Evaluate. de (sin(5x – 1)] cos(5æ – 1) 5 - sin(5æ – 1) 5 · cos(5æ – 1) • 5· cos(x)

A:

Q: cos 2x+1 sin 2.x 7. Prove that sin 2x 1-cos 2x

A: The trigonometric of an acute angle in a right triangle express the relationship between the angle…

Q: Use a calculator to compute sinh x and cosh x for x = −3, 0, 5.

A:

Q: Find the exact value of the expressic ܪܕܐ -1 sin sin ၁ 5 သ | O 2n O 2n 5 5 Эт O 3n 5 3 5

A:

Q: Expand sin(50) in powers of sin(0) and cos(0).

A: In this question we have to expand sin5θ in powers of sinθ and cosθ. we know,…

Q: Find all critical point of the function f(x)= sin^26x+cos6x , 0<x< pi/3

A: Use the graphical approach to determine the critical points for f(x). Plot the curve for f(x).

Q: verify sin2(x)+cos2(x)=1

A:

Q: At what points do the local and absolute extreme values of the function (x) = 2 cos x- x^2 occur on…

A: We have to solve given problem:

Q: 7. Show that sin (+ x) = -cosx.

A:

Q: find maclurin formula in the fourth degree for f(x)=tanx

A:

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: 4 dx 1– cos(4x)

A: Given that the integral ∫4 dx1 - cos 4x. Evaluate the given integral.           The formula used are…

Q: do sin 0 – cos 0 cos 0

A: The given integral is ∫dθsinθ-cosθ

Q: The suitable substitution to evaluate | sin 4(x+2) dx is None (1- cos8(x +2)] [1- cos4(x + 2)]…

A: Given that: ∫sin24(x+2)dx

Q: cosh(3i)is equal to O -cos3 O cosh 3 cos 3 O sin 3

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 8, tan(x) < 0 %3D sin(2x)…

A:

Q: Show that 1 − cos x = x2/2 with an error less than 0.003 for |x| &lt; 1/2.

A: Given: 1-cos x =x22;    |error|&lt;0.003Formula:  The…

Q: Verify the identity. sin 3x 1 = 2 cos x- %3D sec x 2 - sin 2x

A: Given: Verify the identity sin3xsin2x=2cosx-12secx for verifying given identity we solve left hand…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.