Find a simplified expression for tan ( cos ())

Q: cos -1

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

Q: Verify: cos? x tan? x-1 1. = -1 %3D cos2 x

A: To verify: cos2xtan2x-1cos2x=-1

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

A: Given: The expression tantan-12. Since, tantan-1x=x,  for all x∈-∞, ∞ Therefore,  tantan-12=2

Q: Simplify tan (-x) ese(x) cos(x)= А. О В. 1 С. -1 D. sinx

A: tan(-x) cosec (x) cos (x) = [Sin(-x)/ cos(-x)] cosec (x) cos(x)  = [sin (-x)/cos (x) ] cosec (x) cos…

Q: Reduce sin 0 to an expression involving only function of multiples of 0, raised to the first power.

A: Given, sin4θ  We have to reduce sin4θ to an expression involving only function of multiples of θ,…

Q: 8. Find the exact value. sin(tan¬1 x)

A: Convert tan-1x into sin-1x then calculate exact value

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

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

Q: Evaluate / cos“(x) sin³(x)dx. Include "+c" in your answer.

A:

Q: Establish the identity. sin =1- sin x

A:

Q: 8. Find the exact value of 2 sin (tan-1 ()

A: Let's find.

Q: Verify the identity.

A: Given: verify the identity tanx21+cosx=sinx for verifying given identity, we solve left hand side

Q: Derive the following function 7.y=sin(tan sin2x)

A: As per bartleby guidelines we only give first question answers.

Q: express as an algebraic expression in terms of x. sin(arctan(x))

A:

Q: 2nd eg- how to derive tan^2x

A:

Q: Verify the identity: tan(-x)cos x = -sin x

A: To verify:      tan(-x)cos x = -sin x We will start from LHS and will try to get RHS.

Q: $66)= Sinx+ Cos>x.

A:

Q: how can you express cos x in terms of tan x?

A:

Q: Use an identity to solve the equation tan x - sec x = 1 on the interval [0, 2π).

A: The given equation is tanx-secx=1.

Q: Find amplitude and period of function 1/3 cos pi x

A: function is 1/3cosπx here the standard form = AcosBx where A = amplitude period = 2π/B using this…

Q: Find an equivalent expression for sin 4x in terms of function values x sin 4x =

A: power series of f(x) about x =a is  f(x) = ∑h=0∞ fn(a)n! (x-a)n ------- (*)

Q: Find the exact value of the expression. tan(sin−1(-1/2)-cos-1(-1/2))

A: According to the given information it is required to calculate the exact value of the expression:

Q: Rewrite sin ( x in terms of sin(x) and cos(x). 4 |

A: sin ( a - b) = sin a cos b - cos a sin b

Q: Evaluate: / [cos(x) – sin(x)]dr

A: To find:∫cosx-sinxdx

Q: -) Use a sketch to find the exact value of y = cos ( tan' Be sure to define all necessary…

A:

Q: Find the exact value of the expression, if it is defined. 2. tan sin 2

A: We need to find the value of tansin-122ortansin-112

Q: Verify the identity. cos 2x cos² r - sin? x

A: We have to solve the trigonometry problem

Q: Rewrite sin ( x + in terms of sin(x) and cos(x) 4

A: We know  sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

Q: Evaluate sin(x) · In ( cos(x)) dx using substitution.

A:

Q: Verify the identity. tan (-x) cos x= - sin x

A: This question is based on Trignometric function.

Q: Rewrite sin x + in terms of sin(x) and cos(x). 3

A: We will use the below trigonometric identities to solve this

Q: Verify the identity. tan (-x) cos X - sin x

A:

Q: Verify the identity. sin(-x)+cos(-x) = − sin x + cos x

A:

Q: Complete the identity. 2. sinx+tan´x+cos x=?

A: complete the identity               sin2x + tan2x +cos2x=

Q: I am very confused about this concept. Any help would be great.   Thanks much.

A: Given expression is Let Plugging the value in the expression:

Q: what is the derivate of sin(x)cos(x)?

A:

Q: Use trigonometric substitution to evaluate COs x dx

A: The given question is taken from the indefinite integral in which we have to find the value of the…

Q: Write the expression as an algebraic expression in x for x > 0.tan (arccos x)

A: Recall the trigonometric identities, sin x=1-cos2x tanx=sinxcosx

Q: /2 sin-1 (-)

A:

Q: If 0 < x ≤1, write cos(sin-1 x) as an algebraic expression in x.

A:

Q: Find cos x if tan x= -(2 √2)/2 and sin x= √6/3

A:

Q: Find the exact function value. 3n sin 4

A: We have to find the exact function value for sin-3π4.

Q: Verify: cos? x tan? x- 1 1. -1 cos2 x

A:

Q: Obtain the reduction formula for ∫tan"x dx, and hence evaluate ∫ tan5x dx.

A: ∫tannx dx=∫tann-2x·tan2x dx=∫tann-2xsec2x-1 dx      ∵sec2x-tan2x=1=∫tann-2x sec2x-tann-2x…

Q: Verify the identity. sin(-x)+cos(-x) = -sin x + cos x   **By steps**

A: To prove identity  sin(-x)+cos(-x) = -sin x + cos x

Q: tan(sin'x) is ... The simplify of

A: Given expression is Let us suppose Now, Therefore,

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

A: To find the exact value of the expression whenever it is defined.           cos-1sin 0

Q: given tanx= -3/4 and 0*<x<180* , find the exact value of cos(x/2)

A: To solve the following problem