Write the trigonometric expression as an algebraic expression in u. csc(cos^-1 u )

Q: (1 point) Simplify cos(sinz).

A: We simplify the given.

Q: Write sin 17° in terms of cosine. sin 17° COS %3D

A:

Q: Write cos (arcsin (4u)) as an algebraic expression of u, given u>0. Do not rationalize the…

A: Given expression is cosarcsin4u

Q: evaluate using the suggested method.

A: Use Pythagorean identity to convert into sec

Q: Verify the identity tan θ + cot θ = sec θ csc θ.

A: We have to verify tanθ+cotθ=secθ cscθ We know that tanθ=sinθcosθ and cotθ=cosθsinθ…

Q: If cos (-x) =, find sin(-x).

A:

Q: Verify the identity: tan α/2 = sec α/(sec α csc α + csc α)..

A: To Verify

Q: (-8,15)

A: Consider

Q: expression

A: Attached below is the detailed solution. Solved using basic trigonometric properties.

Q: dr 2. Use a trigonometric substitution to evaluate

A:

Q: Determine whether the equation is an identity. If it is, explain how. (sinx + cosx)^2 = 1

A: An identity can be defined as an equality relation A=B, such that A & B contains some variables…

Q: Use trigonometric substitutions to find dr.

A:

Q: Rewrite sin(tan-1u) as an algebraic expression in u.

A:

Q: Write a brief paragraph that explains how to quickly computethe trigonometric functions of 0°, 90°,…

A: Given, Trignometric function of 0∘,90∘, 1800,270∘ from unit circle diagram given below,…

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 <…

A: Given trigonometric identity is:

Q: Write the expression in terms of sine only. 3 sin(9Tx) + 3/3 cos(9Tx)

A: *Formula of sine , sin( A +B ) = sin( A) • cos (B) + cos( A) • sin (B) * values of cosine and sine ,…

Q: What is the exact value of cos x if the point (-4,2) lies on the terminal side of n angle x when…

A: Given: -

Q: Show sin0(csc0-sin0)=cos^20

A: Show sin0(csc0-sin0)=cos^20

Q: Prove the identity. cosx-sinx/sinx cosx = cscx-secx

A: See below the answer and explanation

Q: Calculate the value of expression: sin- cos--2· cos- • tan 5 2

A: Explanation of the answer is as follows

Q: Prove:  cos(π   + x)        2             =−sinx     Please write clearly thank you.

A: We have to prove that cosπ2+x=−sinx. Use formula cosA+B=cosAcosB−sinAsinB Here, A=π2 and B=x Hence,…

Q: tan sin 8 (Simplify vour answer including

A:

Q: Evaluate sin (3x) dax

A:

Q: Verify the folowing equation is an identity with work shown (sin4(x)-cos4(x))/sin2(x)=2-csc2(x)

A: To verify:

Q: Let (-4,5) be a point on the terminal side of 0 sin0= sec0= tan0=

A:

Q: Write sin(4x)-sin(5x) as a product of trigonometric functions.

A:

Q: Verify that the equation is an identity. Show that (csce- cote)² : 1- cose 1+ cose

A: To verify that the below equation is an identity.

Q: Prove the identity. sinx 1+ cosx =2 cscx 1+ cosx sinx Note that each Statement must be based on a…

A: Solution is in step 2

Q: Use Simpsons 1/3 rule to find sinx

A: Please refer to the image below

Q: 3. Rewrite sec (tan-u+ cosv) (a, algebraic expression. as an

A:

Q: complete the identity using the triangle method sin(sec-1(x))

A: The given function is,

Q: Write the trigonometric expression as an algebraic expression in u. sin ( sec -'u)

A: In this question we have to write the trigonometry expression as an algebraic expression of u.

Q: Prove the identity. 1+ cosx + sinx sinx =2 cscx 1+ cosx

A:

Q: Use a cofunction to write an expression equal to sin (). Upload your work

A:

Q: Please prove identity by transforming the left side into the right side: (1+secx)(1-cosx) = (tan^2…

A:

Q: verify cosx/(secx sinx) = cscx - sinx

A:

Q: Use basic identities to simplify cos3x + sin2x cos x

A: We need to simplify the following expression cos3x+sin2xcosx Formula Used : sin2x = 1-cos2x

Q: Write the expression in terms of sine only. 3 sin(5πx) + 3sqrt3 cos(5πx)

A: Given expression can be written as Multiplying and dividing by 2, we get

Q: Use fundamental identities to simplify the expression  cosx-cosx sin^2 x

A: We have to simplify the expression.Expression is given below:

Q: Write sin (tan-u) as an algebraic expression in terms of u.

A:

Q: Find the exact value of the expression cos2 15° - sin2 15°. Do not use a calculator.

A: Given expression: cos215∘-sin215∘ Recall Double-Angle formula cos2θ=cos2θ-sin2θ

Q: Find the exact value of each expression without a calculator. Show your work.  cos-1(-1)

A:

Q: Write the expression y tan (arccos ()) algebraic function without any trigonometric as an or inverse…

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (csc'x-1) sinx=…

A:

Q: Verify the identity. cscx - sinx = cosx cotx

A:

Q: Find the exact value of the expression sin2 π/2 + cos π. Do not use a calculator.

A: Find the exact value of the expression sin2 π/2 + cos π.

Q: Express sin 5x + sin 7x as a product of trigonometricfunctions.

A: To Determine: Express sin3x+sin7xas a product of trigonometric function Given: we have a…

Q: Write the expression as a product of trigonometric functions. cs 6x - cos 2x cos 6x - cos 2x =

A:

Q: Verify that the equation is an identity. Show that sin (-x)+ + csc.x= cotx cos.x.

A:

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.