A 10-point question on a quiz asks students to verify the identity sin x – cos x sin x - cos x. sin x + cos x One student begins with the left side and obtains the right side as follows: sin x – cosx _ sin² x_ cos x sin x - cos x. sin x + cos x sin x cos x How many points (out of 10) would you give this student? Explain your answer.

Q: Find sin x/2, cos x/2, and tan x/2 from the given information. csc x = 8,   90° < x < 180

A: Given cscx=8 ,where 90°&lt;x&lt;180°. Here, x lies in 2nd quadrant, so sinx will be positive but…

Q: The expression sin(3z) cos (2z)- cos (3) sin (2z) is equal to cos (5z) sin z cos z O sin (5z)

A: Trigonometry Addition Formulas The following are the trigonometric addition identity formulas for…

Q: Verify the identity. csc(x) cos²(x) + sin(x) = = = csc(x) cos²(x) + sin(x) = csc(x) 1 sin(x) 1 2…

A: Given csc(x)cos2(x)+sin(x)=csc(x)

Q: Verify the identity: 37 sin 2 -- - -cos x COS X

A: To verify the given trigonometric identity, sin3π2-x=-cos x, let's consider the left-hand side…

Q: 13. If tan(x) = 3/2 and cos x <0, find the exact value of sec x. %3D

A: Given, tanx = 3/2  cos x &lt; 0   We have to find sec x

Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

A:

Q: Verify the identity. 1 + cos(x) cos(x) 1 – cos(x) 1 + cos(x) = 4 cot(x) csc(x)

A:

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step. 5…

A: Trigonometry identity used  sec(x) = 1/cos(x)  tan(x) = sin(x)/cos(x)  sin²(x) + cos²(x) = 1

Q: From the list below find the expression, identical to the given. tan 4x sin 8x + sin 3x cos 3x + cos…

A:

Q: Verify the identities can be proven.   A) (1+cos x )/(1-cos x) - (1-cos x )/(1+cos x )=4 cot x csc…

A: We have to proof that following trigonometric identity.

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

A: Topic- trigonometry function

Q: Use the fundamental identities to match equivalent expressions. cos(8) – sin(0) a. cos(8) + sin(0)…

A:

Q: please help, ignore solution "-16/65" please.

A: To Determine: Exact value of the expression:

Q: Which expression is equal to sec⁡xsin⁡xcot⁡x+tan⁡x using identities? sin^2x cos^2x -cos^2x

A: As per your question no any option matched...but for x=0 one option is satisfying...and that option…

Q: Prove the identity. cosx sin (x+y)- sinx cos (x+y)= siny Note that each Statement must be based on a…

A:

Q: Verify the identity. cos 3x + cos x = 4 cos3 x - 2 cos x Working with the left-hand side, use a…

A:

Q: 7) Verify the identity (cot x – csc x)(cos x + 1) = -sin x

A:

Q: Prove the identity. cos x+ cos 5x cot 2x sin x- sin 5x Note that each Statement must be based on a…

A:

Q: Be sure that you've familiarized yourself with the second set of formulas presented in this section…

A: Solution:We have to solve first three question9. sin 6x+sin2x10. sin8x+sin2x11.sin 7x-sin…

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin'x- cos'x = 2…

A:

Q: Date Verify each identity. 1) cos (270° - 0) = -sin e 2) sin (90° + 0) = cos 0 3) cos (90° - 0) =…

A:

Q: 3. Verify the identity cos(-a) 1- sin(r) COS 1+ sin(-r) =2 sec x cos(r) Show all work and justify…

A: We have to verify the identity cos(-x)1-sin(x) + 1+sin(-x)cos(x) = 2 sec x

Q: Prove the identity. 1 2. = cos x tan x 2 csc 2x Choose the sequence of steps below that verifies the…

A: Given identity can be solve with basic trignometric relations.

Q: 1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos…

A:

Q: Be sure that you've familiarized yourself with the first set of formulas presented in this section…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

A:

Q: Prove the following identities. Show all steps for full marks. a) COS Зл 2 + x = sin x AND, do only…

A: We need to prove the following: a) cos3π2+x = sinxc) tanx-sinxsin3x = secx1+cosx

Q: Write the expression as one involving only sin 0 and cos 0. sin 20 - cos 0 Choose the correct answer…

A: Given sin2θ-cosθ

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 8…

A: To verify : 8secx-8cosx=8sinxtanx

Q: Establish the identity. 9) sin(20) + cos 0 sin 0 = 3 cos Osin 0

A: Explanation of the solution is given below...

Q: Prove the identity. sin x- sin 9x =- tan 4x cos x+ cos 9x Note that each Statement must be based on…

A:

Q: 2. Verify the identity secx - cos x = sin x tan x 3. Find the exact value of sin(2) using the sum…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) =  12 13,   csc(x) < 0…

A: We shall use the trigonometry identities   Sin2x +cos2x =1 Sin2x= 2sinx Cosx   Cos2x= 1- 2sin2x…

Q: Show that the following is true. 3n sin - x) = -coS X We begin on the left side of the equation by…

A:

Q: 3. Which expression is equal to O - cos²x sin² x O - sin²x O cos²x secx sin x cotx+tan x using…

A:

Q: Prove the identity. 1+ sin x cos x = 2 sec x cos x 1+ sin x Note that each Statement must be based…

A:

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 7…

A:

Q: Find the exact value  sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6)

A: we know that ,  sin ( a + b ) = sin ( a ) • cos ( b ) +                               cos ( a ) sin…

Q: Verify that the equation is an identity. sin x- cosx 1-2 sin x cosx Show that sinx+ cosx 1- 2 cos?x…

A:

Q: Find sin(x/2), cos(x/2), and tan(x/2) from the given information. sin(x)=4/5 , 0˚< x < 90˚

A: Given,         sinx=45 , 0°&lt;x&lt;90° .

Q: Prove the identity. cos (x-y) sinx- sin(x-y) cosx= siny CoS Note that each Statement must be based…

A:

Q: Date Verify each identity. 1) cos (270° - e) = -sin e 2) sin (90° + 0) = cos e %3D = Cos 3) cos…

A: We have to identify the following conditions

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

A: To prove: 1+sinxcosx+cosx1+sinx=2secx

Q: from the given information. tan(x) = 2,   0° < x < 90° sin x/2= cos x/2= tan x/2=

A: Given tan(x) = 2 So first find x ,   where 0° &lt; x &lt; 90°

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin’x- cos'x = 2…

A: Rule used, Sin2x+Cos2x=1

Q: Verify the identity by converting the left side into sines and cosines. sec(x) – cos(x) = sin(x)…

A: The given identity is secx-cosx=sinxtanx   identity used: 1-cos2x=sin2x

Q: HoW Grouf B If tan'o 2tan²ß =1 Show that 2 Cos?g-cosB=- o

A:

Q: Verify the identity. 2 cos 3x sin x = 2 sin x cos x – 8 cos x sin3 x Working with the left-hand…

A: Using the product to sum identity

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)…

A: Given that : To verify each step using the trig identities