Solve each equation for 0 < x < 360. a. cos(x + 30) = 2 sin x

Question:

Solve each equation for 0°< x < 360°.

a. cos(x + 30°) = 2 sin x

b. cos(x − 60° ) = 3cos x

c. sin(30° − x) = 4sin x

d. cos(x + 30°) = 2 sin(x + 60°)

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 & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

See More Books

Question Posted: Mar 14, 2023 07:16 AM

See More Questions

Solve each equation for x. (b) e = 5 (b) In(5 - 2x) --3 (b) In x + In(x - 1) = 1 (b) e* = Ce*, where a + b 49. (a) 2 In x = 1 50. (a) e2x+3 - 7 -0 51. (a) 2-5- 3 52. (a) In(In x) =- |
Solve each equation for x. (a) ex = 5 (b) In x = 2 (c) eex = 2 (d) tan-1x = 1
Solve each equation for x. 1. (a) e7-4x = 6 (b) ln (3x - 10) = 2 2. (a) 2x-5 = 3 (b) ln x + ln(x - 1) = 1
Listed below is the income statement for Tom and Sue Travels, Incorporated. TOM AND SUE TRAVELS, INCORPORATED Income Statement for Year End ( in millions of dollars ) Net sales $ 1 9 . 6 0 0 Less:...
Why would a company consider observational or ethnographic research in preference to conventional surveys?
What is a salad bar culture?
What is the probability that a voter chosen at random did not vote for a Democratic representative in the 2008 election? (Source: Federal Election Commission) Using a Frequency Distribution to Find...
1. Why install an ERP? 2. Why not install an ERP? 3. Do you try to cost-benefit justify such a system, and, if so, how? 4. Are there corporate culture issues involved? 5. What degree of top...
According to the Housing Affordability Index (HAI) is it a good time to buy a home in New Jersey? Use the following information and show all calculations: Median Housing Price in NJ = $500,628...
Amanda Autry and Carley Wilson are partners in A & W Gift Shop, which employs the individuals listed below. Paychecks are distributed every Friday to all employees. Based on the information given,...
i. Express cos x + 3 sin x in the form R cos (x ), where R > 0 and 0 < < 90, giving the exact value of R and the value of correct to 2 decimal places. ii Hence solve the equation cos 2 + 3sin 2 =...
a. Given that 3sec + 4 cosec = 2 cosec 2, show that 3sin + 4 cos = 1. b. Express 3sin + 4 cos in the form Rsin( + ) , where R > 0 and 0 < < 90. Give the value of correct to 2 decimal places. c....
As Lush UK implemented the change, how could it measure the effects of leaving and then returning to social media on the achievement of its marketing goals? Lush Fresh Handmade Cosmetics UK sells...
Given forecast errors of 4, 8, and -3, what is the MAD? What is the MSE?
Padgett Rentals can purchase a van that costs $$48,000$ ; it has an expected useful life of three years and no salvage value. Padgett uses straight-line depreciation. Expected revenue is...
Rainwater Corp. expects to sell 600 umbrellas in May and 400 in June. Each umbrella sells for $$15$. Rainwaters beginning and ending finished goods inventories for May are 75 and 50 units,...
Don Moon is the owner of ABC Cleaning. At the beginning of the year, Moon had $\$ 2,400$ in inventory. During the year, Moon purchased inventory that cost $\$ 13,000$. At the end of the year,...
Agua Ole is a distributor of bottled water. For each of items a through c, compute the amount of cash receipts or payments Agua Ol will budget for September. The solution to one item may depend on...
Identify the difference between passive, aggressive, and assertive behavior.
Swifty company is a publicly held corporation whose $1 par value stock is actively traded at $30 per share. The company issued 3400 shares of stock to acquire land recently advertised at $93000. When...
A picnic basket contains five jars: one of marmalade, two of peanut butter and two of jam. A boy removes one jar at random from the basket and then his sister takes two jars, both selected at random....
At a garden centre, there is a display of roses: 25 are red, 20 are white, 15 are pink and 5 are orange. Three roses are chosen at random. a. Show that the probability of selecting three red roses is...
R is a random variable such that R {10, 20, 70,100}. Given that P(R = r) is proportional to r, show that E(R) = 77 and find Var(R).
Jenny wanted to donate to her alma mater to set up a fund for student scholarships. If she would like to fund an annual scholarship in the amount of $6,000 and her donation can earn 5% interest per...
You would like to have a balance of $600,000 at the end of 15 years from monthly savings of $900. If your returns are compounded monthly, what is the APR you need to meet your goal?
Explain the importance of covariance and correlation between assets and understanding the expected value, variance, and standard deviation of a random variable and of returns on a portfolio.

Solve each equation for 0 < x < 360. a. cos(x + 30) = 2 sin x

Question:

Step by Step Answer:

a cosx 30 2 sin x Using the identity cosAB cos A cos B sin A sin B we can rewrite the left side of t...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

Students also viewed these Mathematics questions