Suppose x is in the interval [0, pi], and is not in the domain of tan(x).What is cos(2x)? (use decimal notation in your answer).

Q: If f(x) = 6 sin x + 9 cos a, then f'(x) =

A:

Q: Graph the function f(x) = tan (r-7/4) one-period interval. Over a

A: solutuon:

Q: Write the expression as an algebraic expression in x for x > 0.

A: Since, we know that cos2 (x)=cos (2x)+12⇒2 cos2 (α)=cos (2α)+1By assuming α=12(cos-1x)⇒cos 12cos-1…

Q: Differentiate the following function COS T 1 (a) sec(x) tan(x) (b) (c) sin (4x° + cos(x))

A:

Q: Consider the following. g(x) = V3 cos(2x) + sin(2x) (a) Express the function in terms of sine only.…

A: We know that the following trigonometric identities . sin ( a + b) = sin a cos b + cos a sin b  And…

Q: Given that cos(x) = 0.42, what is cos(-x)?

A:

Q: If f (x) = – sin(x), then f (10) (x) is equal to A - sin(x) В - cos(x) C sin(x) D cos(x)

A:

Q: PROVE that sin x = V1 – cos² x is NOT an identity. -

A:

Q: Plot the following function У-cos(2n/5)-х)

A: y=cos2π5-x

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: Given equation is sinx=1. To find the exact value of x in the interval 0,4π using the graph.…

Q: At what value(s) of x does cos x = 2x?

A: To determine the intersection value of x where x = 2x.Here the first curve is y = cosx and the…

Q: For f(x)=In(cos(x)), what is

A:

Q: Determine a root of f(x) = 2* +3 cos(x²)-2 with 10-3 accuracy.

A: Given :f(x)=2x+3cosx2-2

Q: Substitute the expressions for u and for du to write tan(5x + 8)dx in terms of u. tan(5x + 8)dx = |…

A:

Q: f(a) tan(x) + sec(x) simplifies to where cos(x) f(x)

A:

Q: 1. Use the Intermediate Value Theorem to show that there is the solution to the equation cos(x)=x in…

A: Given cosx=x

Q: 1. - Cos x x +0 f(x) = (0, %3D 3C

A: (a) From the definition of limit, the function will be continuous at x = a when…

Q: How would you evaluate f cos?x sin x dx?

A: We need to evaluate, ∫cos2xsin3xdx

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

A: We have to find exact value of the expression: cos-132 We know the exact value, cos π6=32 Therefore,…

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

A:

Q: Q4: Prove that: cos?x – sin?x cos²x - 1- tan?x

A: We need to prove that cos2x-sin2xcos2x=1-tan2x We will use tanx =sin xcos x

Q: is cos x = 1/sec x an identity

A:

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A:

Q: Using appropriate substitution, ſ sin1º(x)cos³(x)dx is equal to: an

A: By using integration by substitution.

Q: 1) Use Excel to plot both of sin(x), cos(x) at the same plot, where: 0<x <2n.

A: To find- Use Excel to plot both of sinx, cosx at the same plot, where: 0 ≤ x ≤ 2π.

Q: snip

A: The given expression is cos-1-22

Q: If f(x) = sin(cos(2x)), then find f' O-1 O -2 O 1 ||

A:

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: Given: cos x = 1 To find: Using the graph of y = sinx  or  y = cos x to find the exact values of x…

Q: Find all values of x in the interval [0, 27] that satisfy the equation sin x sin x tan x

A:

Q: Use the intermediate value theorem to show that there is at least one real root of the equation cos…

A: Given: cosx=x3

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: If f(x) = 6 sin x + 10 cos x, then f'(x) = f'(4) =

A:

Q: Refer to the graph of y = sin x or y = cos x to find the exact values of x in the interval [0, 4p]…

A: Consider the given equation as cosx=-12

Q: Choose the equivalent sin'x O 1- cos-x

A: Given sin^2(x)

Q: At what value(s) of x does cos x = -x?

A: Given,

Q: Express the following as an algebraic function of x. sin(sin¯ (x) – cos-'(x)

A:

Q: If f (x) = - sin(x), then f (11) (x) is equal to A - sin(x) B - cos(x) sin(x) D cos(x)

A: Differentiate 11 times

Q: Find f'(x) for f(x) = sin?x · tan (x² – 3x + 1)5).

A: We will find the derivative.

Q: If f(x) = f (x) = = COS 7 tan z, then f'(5) =

A:

Q: Which of the following functions lead to an indeterminateform as x→0: ƒ(x) = x2/1x + 22, g(x) = (tan…

A: Part (a) - f(x) = x2x+22y = limx→0 f(x)y = limx→0 x2x+22y = limx→0 x+22Putting x=0,y = 0+22y =…

Q: Is f(x)=cos^2(x)-sin^2(x) even, odd, both, or neither?

A: Given,           f(x)=cos2(x)-sin2(x)

Q: х Given that t= tan , show that: 1-1? 2t d) sin x = 1+t? e) cosx = 1+1? 2t f) tanx = 1-?

A:

Q: What is the frequency of the periodic function f(x) = 5 sin()?

A:

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: Find the smallest number x such that cos(e^x + 1) = 0

A:

Q: Solve the following equation for x on the interval [0, 27). tan (x) = -6

A:

Q: At what value(s) of x does cos x = 9x? X=

A: Cos x= 9x To find the value of x

Q: Find an equivalent expression for 3 sec x+- using the cofunction identities.

A: Here apart from using cofunction identities we need to use the sign of trigonometric function in 4th…

Q: Evaluate the following 2 sin (x) -dx 1+ cos (x)

A: I = ∫0π/2sin(x)1+cos(x)dxI = ?

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.