a Show that the equation 8sin 2 2 cos 2 cos 6 can be written in the form 6 cos 2 cos 2 0 b Hence, solve the equation 8sin 2 2 cos 2 cos 6 for 0 360 ...

a We start by using the trigonometric identity sin cos 1 to rewrite the equation 8sin 2cos cos 6 Usi ...

a. Show that the equation 8sin 2 + 2 cos 2 cos = 6

Question:

a. Show that the equation 8sin²θ + 2 cos²θ − cosθ = 6 can be written in the form 6 cos²θ + cosθ − 2 = 0.
b. Hence, solve the equation 8sin²θ + 2 cos²θ − cosθ = 6 for 0° ≤ θ ≤ 360°.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 06:37 AM

See More Questions

Show that cos 6 can be written in the form a cos 6 + b cos 4 + ccos 2 + d. Hence, find cos 0 d0.
Show that the (25-11) may be written in the form + (V-Pav) DABV 3D r
A probability distribution can be written in formula notation such as P(X) = 1/X, where X = 2, 3, 6. The distribution is shown as follows: P(X) = X/(X + 2) for X = 0, 1, 2 3 P(X) 61-16
A chilled water cooling coil receives 2.5 m3/s of air at 25 C db, 20 C wb. It is necessary for the air to leave the coil at 13 C db, 12 C wb. Assume sea level pressure. (a) Determine the SHF and the...
Identify and discuss real examples of companies with a competitive advantage based on customer lock-in as opposed to product innovation. Which do you expect to sustain a high ROIC for a longer time?
Consider the demand data in the table below: t 1 2 3 4 5 6 Yt 35 50 60 72 83 90 We want to apply exponential smoothing with trend: Using a fit sample of size 3, initialize the smoother using linear...
Primus, Inc., owns all outstanding stock of Sonston, Inc. For 2009, Primus reports income (exclu sive of any investment income) of $600,000. Primus has 100,000 shares of common stock out standing....
Melissa Mooring, director and owner of the Kids Education Center, has a masters degree in elementary education. In the seven years she has been running the Kids Education Center, her salary has...
Match each statement to the appropriate bias to be aware of when interpreting data analyses
Reconsider the Profit & Gambit Co. advertising-mix problem presented in Section 2.7. Recall that a major advertising campaign is being planned that will focus on three key products: a stain remover,...
Solve the equation cos 1 (8x 4 + 14x 2 16) = .
Solve each of these equations for 0 x 180. a. cos 2x = 0.6 b. sin3x = 0.8 c. tan2x = 4 d. sin2x = 0.5 e. 3cos 2x = 2 f. 5sin2x = 4 g. 4 + 2 tan2x = 0 h. 1 5sin2x = 0
Vermonts PineCrest hotel has a restaurant and 90 double rooms and 60 single rooms. e average room rate for double rooms is $88 and the variable cost per double room night sold is $8. Single room...
A storeroom is used to organize items stored in it on N shelves. Shelves are numbered from 0 to N-1. The K-th shelf is dedicated to items of only one type, denoted by a positive integer A[K]....
CASES CASE 10.1 Money in Motion Jake Nguyen runs a nervous hand through his once finely combed hair. He loosens his once perfectly knotted silk tie. And he rubs his sweaty hands across his once...
(3.8) Axiom, Definition of false false = true (3.9) Axiom, Distributivity of over : (pq) p=q
The board of directors of Unilever has been impressed by the presentation you did, and they further instructed you to conduct a more insightful investigation about the Sri Lankan market. They have...
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, ogg, gbb, gbg, ggb, ggg}. After identifying the sample space for a couple having...
Can you explain why we did not mention multiplexing/demultiplexing services for the application layer?
Find the cross product a x b and verify that it is orthogonal to both a and b. a = (t, 1, 1/t), b = (t 2 , t 2 , 1)
Suppose the scale for a data set is changed by multiplying each observation by a positive constant? 1. What is the effect on the median? 2. What is the effect on the mode? 3. What is the effect on...
What is the mean 1 mile running time over 18 weeks? Health Promotion A man runs 1 mile approximately once per weekend. He records his time over an 18-week period. The individual times and summary...
What is standard deviation of the 1 mile running time over 18 weeks? Health Promotion A man runs 1 mile approximately once per weekend. He records his time over an 18-week period. The individual...
Read the following and then answer the questions below:September 12: A Brisbane business offers by letter to sell 500 tyres to a New Zealand company. The Brisbane company does not specify a method of...
Fred returns home from work one day to discover his house surrounded by police. His wife is being held hostage and threatened by her captor. Fred pleads with the police to rescue her and offers...
Would like you to revisit one of these. Consideration must be clear and measurable.if you can't measure it then how can you show it has / has not been done?How can you sue someone for breach of...

a. Show that the equation 8sin 2 + 2 cos 2 cos = 6

Question:

Step by Step Answer:

a We start by using the trigonometric identity sin cos 1 to rewrite the equation 8sin 2cos cos 6 Usi...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions