a) Simplify b) Hence solve the equation 6 6 cos 3 sin for 0 2 6 6cos0 2 sin...

ANSWER a To simplify 6 6cos2 theta2sin theta we can first factor out 6 from the numerator 6 6cos2 ...

a) Simplify b) Hence solve the equation 6 6 cos = 3 sin for 0

Question:

a) Simplify

b) Hence solve the equation 6 − 6 cos² θ = 3 sinθ for 0 ≤ θ ≤ 2π.

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

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 13, 2023 10:58 AM

See More Questions

a) Given that 2 sin cos = 1, show that 2 cos + cos 1 = 0. b) Hence solve the equation 2 sin( 20) cos ( 20) 1 = 0 for 0 180.
a. Express 3sin + 4 cos in the form Rsin( + ) , where R > 0 and 0 < ,90. Give the value of correct to 2 decimal places. b. Hence solve the equation 3sin + 4 cos = 2 for 0 < < 360. c. Find the...
a. Prove that cos 4x + 4 cos 2x 8 cos 4 x 3. b. Hence solve the equation 2cos 4x + 8 cos 2x = 3 for < x < .
You find a certain stock that had returns of 18 percent, 23 percent, 16 percent, and 9 percent for four of the last five years. If the average return of the stock over this period was 10.3 percent,...
The median for the given set of six ordered data values is 26.5. What is the missing value? 7 12 21_________ 41 50
How is a preferred stock dividend calculated?
Identify requirement categories.
Nathan Industries had a remaining debit balance of $20,000 in its under-and overapplied factory overhead account at year-end. It also had year-end balances in the following accounts: Work in...
2. (2 points) Determine the complexity of the following piece of code, which transposes an n x n matrix. (Give the summation and the result) for (i = 0; i < n = 1; i++) for(j=i+1; j < n; j++) { tmp...
Bottle-Up Inc., was organized on January 7, 2008, and made its S election on January 24, 2008. The necessary consents to the election were filed in a timely manner. Its address is 1234 Hill Street,...
Solve the following equation for 0 0 360. a) 3 sin + 5 cos 1 = 0 b) 2 sin tan = 3 c) 7 cos + sin = 5cos d) 3 tan = 5 sin e) cos sin = 0 f) 1 + sin cos = sin
a) Sketch, on the same diagram, the graphs of y = 2cos x and y = cos x for 360 x 360. b) State the number of solutions of the equation 2cos x = cos x for 360 x 360.
A bullet is fired into a block of wood sitting on a block of ice. The bullet has an initial velocity of 500 m/s and a mass of 0.005 kg. The wooden block has a mass of 1.2 kg and is initially at rest....
What causes a tsunami?
What are greenhouse gases?
What method uses records of past earthquakes to predict future earthquakes? What are the limitations of this method?
By how much did the average global temperature rise during the past century?
What are the hazards associated with volcanoes?
A large organization has hired you as a consultant to identify day-to-day activities for middle managers to minimize distributive and procedural injustice. The company explains that employees have...
A sample statistic will not change from sample to sample. Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
Answer Problem 6.70 for the average heart rate (or blood pressure) over all available levels to baseline? Data Set NIFED.DAT (at www.cengagebrain.com) was described earlier. We wish to look at the...
Suppose that there are 6 deaths due to bladder cancer among workers in a tire plant from 1/1/64 to 12/31/83, while 1.8 are expected based on U.S. mortality rates. Provide a 95% CI for the expected...
Suppose that there are 4 deaths due to stomach cancer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected...
Unless otherwise indicated: All taxpayers are calendar-year, accrual-method, C corporations No tax elections were made Round all answers to the nearest whole dollar; do not round intermediate...
Consider a job where you are currently employed, or a prior job. A) Perform a job analysis on that job. What tasks are required? What knowledge, skills, and abilities are necessary to perform those...
On Dec. 1, 2023, Client prepays Eel Corp. for 24 months' worth of consulting services at $7,531/month (total payment was $7531 x 24 months). The services begin on Jan. 1, 2024 and will be provided...

a) Simplify b) Hence solve the equation 6 6 cos = 3 sin for 0

Question:

6-6cos²0 2 sin

Step by Step Answer:

ANSWER a To simplify 6 6cos2 theta2sin theta we can first factor out 6 from the numerator 6 6cos2 ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions