use the half angle formula to find and exact value for the following  a) sin 22.5degree b) cos 105 degree

Q: art A only

A: Given: A) sin2β(1+cot2β)=1

Q: Find the x-intercepts and describe the behavior of the graph of the polynomial function at the…

A: Given problem:- Find the x-intercepts and describe the behavior of the graph of the polynomial…

Q: Evaluate the expression under the given conditions. sin(20); sin(0) = 0 in Quadrant II

A:

Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any Integer, Round…

A: We know, cos(2kπ)=1 for all integer k.

Q: 3. In the triangle RST, what is t? 18 A. t= 18 B. t= r=18 tan 40 tan 50 40 C. t= 18(tan40 ) D. t =…

A: Please see the answer below.

Q: Evaluate the expression under the given conditions. sin(20); sin(0) O in Quadrant II

A: This question is based on Trigonometric Ratios and Pythagoras theorem.

Q: write an equivalent. expression that tovolves xanıylassume xis pasitive). 69)00s(cas-"x) SScme X

A:

Q: Eliminate the parameter of the pair of parametric equations. x = 3t, y = t + 7 O y = 3x + 7 O y = 3x…

A:

Q: ln (10e2x)   ln (e4x)

A:

Q: Find the exact value of sin(π4). sin(π4)

A:

Q: Given z = 1+ V3i, find zº using De Moivre's Theorem. Select the correct answer below: 32 -32i O 64…

A: z=1+3i  z=reiθwhere r  =12+(3)2   =1+3    =4  r  =2θ=tan-1(yx)   =tan-1(31)θ =π3

Q: Gordon likes to take his dog for a walk on the beach each morning. The beach near his home is quite…

A: Apologies for the inconvenience.   We roughly sketch the situation: Here, N=North, S=South, E=East,…

Q: cosx-cos2x=0 *Solve for x if 0≤ x<2π; radians using exact values only

A: To find the values of x such that given trigonometric equation is satisfied.

Q: V5 1 Find the other five trigonometric ratios of 0. sin 0 =| cos e = tan 0 = csc e = sec 0 = 2.

A: Solution of question is written in below steps.

Q: 51 Find the exact values for the six trigonometric functions of the angle 0. 140

A: Please see the answer below.

Q: sin2(78°) + cos2(78°)

A: Question is based on trigonometric ratios and angels.

Q: Direction: Complete the proof below. sin(A+B) tan A+tan B Verify if sin(A-B) tan A-tan B Statements…

A: tanA+tanBtanA-tanB=sinAcosA+sinBcosBsinAcosA-sinBcosB…

Q: Solve the system by elimination. -3x + 3y -18 27 4y ONo solution O Infinite number of solutions

A:

Q: Solve equation for exact solutions over the interval [0, 2pi) 5 tan 3x=5

A:

Q: If sin A=1/√10 with A in QII find cos 2A.

A:

Q: Consider sec(-2 – 72) = 2. We wish to determine all solutions for this problem. First solve the…

A:

Q: On a sheet of paper, verify each of the following identities. Make sure to show all work.  The…

A:

Q: Find the remaining sides and angles of the triangle ABC; with right angle at C. B = 73°, b = 6.7 A…

A:

Q: Find the sum 7n, where n = 51 to 100. Show your formula and work. (You cannot just use a calculator…

A: we have to calculate the sum.

Q: Find side length RS. Round to the nearest tenth. 310 11 Enter the correct answer in the box. Hide…

A:

Q: Find the length of H H. 33° 17° 35-

A: The given problem is solved below in detail.

Q: Question A man standing on the overpass sees two cars approaching him on a road below the overpass.…

A:

Q: egory 1: Verify two (2) of the following identities. (Perform the Proof.) A minimum of 2 steps is…

A:

Q: sin e sin O cosU D. 1- cos e esce(1+cos? 0) %3D 1+cos 0

A: Given query is to verify the identity.

Q: Find the product of z1 & z2, leave answer in trigonometric form: 5T z =5 (cos프+ isin프) & z2 = 3 (cos…

A: See the details solution in below

Q: Find 0 for 0° s0 0 Round to two decimal places as needed.)

A:

Q: If cos A=1/2 with A in QIVfind the following sec A/2 2. If sin A=5/13 with A in QII find the…

A: To find the angle from the given angle values.

Q: Find the intercepts and the vertical and horizontal asymptotes, and then use them to sketch a graph…

A:

Q: tan x -cot x sin x cos X %3D tan2x-cot2x 1-sin x %3D 1+ sin x 4. (sec x- tan x)² 3.

A: 3)tanx-cotxtan2x-cot2x=sinxcosxL.H.Stanx-cotxtan2x-cot2x=tanx-cotxtanx+cotxtanx-cotx=1tanx+cotx=1sin…

Q: Verify that the equation is an identity. Csc8 = sec 0 cote Csce %3D cot0 What transformation is made…

A: Take Left hand side and show the right hand side .This is the verification.

Q: i) Which set of values is the solution for sin x = -,0sxs2x? a) -0.34 , 2.80 b) 5.94 , 3.48 c) 1.91,…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: TC Use a cofunction to write an expression equal to cos 12 JT COS 12 Osin O O tan O OcotO OsecO

A:

Q: 12 cos(4r) dr

A: Given,            ∫0πx2cos4xdx

Q: Simplify the expression to one term. Graph the original function and your simplified version to…

A: Given: sin(x)cos(13x)-cos(x)sin(13x)

Q: 8. Express the product sin30 cos50 as a sum. O 1/2 (sin80-sin20) O 1/2 (sin80+sin20) sin80-sin20…

A:

Q: A movie theater has a seating capacity of 359. The theater charges $5.00 for children, $7.00 for…

A:

Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

Q: A girl of height 150 cm stands in front of a lamp-post and casts a shadow of length 150 V3 cm on the…

A:

Q: Prove that the following identity is true. sin2 x (cot2 x + 1) = 1

A:

Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

A:

Q: Given: sin 0 = where 90 < 0 < 180 %3D Find: tan 2/5 2 2.

A: Since, 90≤θ&lt;180So, cosθ will be negative.cosθ=-1-sin2θSubstitute…

Q: Write an expression for the apparent nth term of the sequence , -, - 16 an: (-1)"+1 an = 2h -2n an =…

A:

Q: Done Two vectorsu and v are given. Find their dot product u · v. u = 6j – 7k, v =

A:

Q: Directions: Find the value of each variable used in the figures. Leave your answer in simplest…

A:

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: