The diagram shows triangle PQR with PR = 6 cm, QR = 5 cm and angle QPR

Question:

The diagram shows triangle PQR with PR = 6 cm, QR = 5 cm and angle QPR = 45°.

a. Show that sin Q = 3√2/5

b. Given that Q is obtuse, find the exact value of cos Q.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 16, 2023 12:22 AM

The diagram shows triangle PQR with PR = 8 cm,QR = 6 cm and angle QPR = 30. a. Show that sin Q = 2/3 b. Given that Q is obtuse, find the exact value of cos Q P. 30 8 cm 6 cm R
The diagram shows triangle PQR with PQ perpendicular to QR. P is the point (6,5), Q is the point (2, 10), and R is the point (8, y). Find the value of y. R(-8, y) yi 0 Q(2, 10) P(6,5) X
The diagram shows the triangle ABC with AB = 11 cm, BC = 6 cm and AC = 7 cm. a. Find the exact value of cos B, giving your answer in simplest form. b. Hence find the exact value of sin B. B 6cm 11 cm...
Solve the right triangles with the given parts or state that there is not enough information to solve. Round off results according to Table 4.1. Refer to Fig. 4.37. B = 32.1, c = 238 Data from Table...
Review the chapter explanations of the income statement and the balance sheet equations. Apply these equations in each independent case to compute the two missing amounts for each case. Assume that...
The pier is made of material having a specific weight g. If it has a square cross section, determine its width w as a function of z so that the average normal stress in the pier remains constant. The...
By using six factor formula for $k$, derive the Eqs. (7.93), (7.94) of Section 7.7.1. dkoo dp= k MB dM dB 8 + (7.93) 1+M B M B2
As a recently hired accountant for a small business, Bearing, Inc., you are provided with last year's balance sheet, income statement, and post-closing trial balance to familiarize yourself with the...
12. Your calculations show that if the wrong link is shared to a potential Democratic voter, there is a strong chance it could result in them changing their vote to Independent or Republican. If you...
a. Show that (2x 1) is a factor of 2x 3 7x 2 17x + 10. b. Factorise 2x 3 7x 2 17x + 10 completely. c. Hence, or otherwise, sketch the graph of y = 2x 3 7x 2 17x + 10, labelling any...
The diagram shows triangle ABC, with AB = 5 cm, BC = (2x 3) cm, CA = (x + 1) cm and ABC = 60. a. Show that x satisfies the equation x 2 8x + 16 = 0. b. Find the value of x. c. Calculate the area of...
Work-related responsibilities can be challenging for many employees, managers, and executives for numerous reasons. It is not uncommon for all of these people to face challenges in balancing personal...
Solve the following system of equations by Jacobi and Gauss seidel methods, given the initial values x = x2 = x3 = 0, and the exact solution is x = 3, x = 4,x3 = 5. 10x1 + x2+2x3 = 44 2x1 +10x2 + x3...
Observation of Xavier's Class You are greeted at the door by Xavier and are asked to take a seat wherever you would like. The tables are joined to make a large square, with various seating options...
A horizontal merry-go-round of mass 85.0 kg and of radius 1.60 m is started from rest by a constant horizontal force of 40.0 N applied tangentially to the merry-go-round. el to mottod a) Find the...
Complaints management: Go to the Indigo Document Centre, and within the Policy and Procedure folder locate the Complaints Policy and Procedure. What is the name of the relevant legislation for this...
Enter the specific amount of time spent as well as key descriptors so you remember important details. Be sure to indicate what specific content you consumed as well as how you consumed it (For...
What two genes are at the heart of a current lawsuit and what is their importance?
The May 2014 revenue and cost information for Houston Outfitters, Inc. follow: Sales Revenue (at standard).............. $ 540,000 Cost of Goods Sold (at standard) ..........341,000 Direct Materials...
Is there enough evidence to conclude that households whose heads have some college (EDCL: 3 = some college, 4 = college degree) have less debt (DEBT) than households whose heads completed a college...
Do people who completed a college degree fare better financially than those who started college but never finished? One way to judge financial success is by measuring ssets. Is there enough evidence...
Is there enough evidence to infer that heads of households who finish high school (EDCL: 1 = no high school diploma, 2 = high school diploma) have greater net worth than those who did not complete...
1 -1 Let A 0 2 and B 5 3 1 BA= = 0 -2 5 6 2 10 BA = 3 3 BA= 2 -2 4 -12 7 11 3 0 5 BA = -1 -26 = -3 2 1 Calculate BA. 1 -1 2
Minden Company is a wholesale distributor of premium European chocolates. The company's balance sheet as of April 30 is given below: Minden Company Balance Sheet April 30 Assets Cash Accounts...
K Given that 5 is a zero of the polynomial function f(x), find the remaining zeros. f(x)=x-13x+60x - 100 List the remaining zeros (other than 5). (Simplify your answer. Type an exact answer, using...

The diagram shows triangle PQR with PR = 6 cm, QR = 5 cm and angle QPR

Question:

P 45° 6 cm 5 cm R

Step by Step Answer:

To solve this problem well use trigonometric identities and the given information about the triangle Lets start with part a a Show that sin Q 325 In a ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions