Solve each equation for 0 < < 360. a. 2 tan 2 1 =
Question:
Solve each equation for 0° < θ < 360°.
a. 2 tan2 θ − 1 = secθ
b. 3 cosec2 = 13 −a cotθ
c. 2 cot2 θ− cosecθ = 13
d. cosec + cotθ = 2 sinθ
e. tan2 θ + 3secθ = 0
f. √3 sec2θ = cosecθ
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (5 reviews)
ANSWER a To solve this equation we can use the identity sec2 1 tan2 So we have 2tan2 1 sec 2tan2 1 1 tan2 tan2 1 tan 1 Therefore 45 225 b Using the id...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Solve each equation for 0 < x < 180. a. 2 tan(60 x) = tan x b. 2 tan(45 x) = 3tan x c. sin(x + 60) = 2 cos(x + 45) d. sin(x 45) = 2 cos(x + 60) e. tan(x + 45) = 6tan x f. cos(x + 225) = 2 sin(x ...
-
Solve each equation for the specified variable. a. w - r = 11, for w b. 2p + 3h = 18, for h c. w - r = 11, for r d. 2p + 3h = 18, for p
-
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) =- |
-
Consider a social network where people are represented as vertices and friendships as edges. If there are 1 0 people in the network and each person is friends with 3 others, calculate the total...
-
Discuss the process of developing a CRM strategy.
-
Fred specified in his will that his nephew John should serve as executor of Fred's estate. John received $10,000 for serving as executor. Can John exclude the $10,000 from his gross income? Explain.
-
The following are the numbers of mistakes made in 5 successive days for 4 technicians working for a photographic laboratory: Test at the level of significance \(\alpha=0.01\) whether the differences...
-
You are the controller for Tippets Watch Company, a manufacturer of high-quality watches. The company has excess watches, which it has not been able to market through its own distribution outlets. To...
-
A bank starts with ALL of $2.965 million at the beginning of the year, charges off worthless loans of $0.436 million during the year, recovers $0.068 million on loans previously charged off, and...
-
If cos(A B) = 3cos(A + B), find the exact value of tan A tan B.
-
Express cos 2 2x in terms of cos 4x.
-
The function f is defined as f(x) = x 2 2x + 2, x. a. Write f(x) in the form (x + p) 2 + q, where p and q are constants to be found. b. Hence, or otherwise, explain why f(x) > 0 for all values of x,...
-
6x+17x-3 Evaluate the following limit: lim xo 5x2+14x-3
-
Your company decided to organize a special dinner to appreciate all the employees and it has been proposed that the dinner to be held in the middle of December 2021. You have been appointed as the...
-
Last year, Tammy opened an investment account with $6200 . At the end of the year, the amount in the account had decreased by 6.5% . How much is this decrease in dollars? How much money was in her...
-
Abel Plumbing Company's pickup truck, which had an actual cash value of $25,000 and a replacement cost of $30,000, was insured under a Business Auto Coverage Form for both collision and comprehensive...
-
Find the antiderivative. After a substitution u = cos x, the integral becomes cos (x) sin (x) dx =
-
An evil scientist has devised an experiment that takes one hour to run to completion. It has a 1/12 chance of causing the world to explode. Otherwise, it fails and the evil scientist immediately...
-
Which should drive action planning more, strengths or weaknesses? That is, is it more important to build on your strengths or to reduce your weaknesses? Explain.
-
In a particular country, 58% of the adult population is married. Find the probability that exactly 12 out of 20 randomly selected adults are married.
-
The random variable H ~ B(192, p), and E(H) is 24 times the standard deviation of H. Calculate the value of p and find the value of k, given that P(H = 2) = k 2 379 .
-
On average, 14% of the vehicles being driven along a stretch of road are heavy goods vehicles (HGVs). A girl stands on a footbridge above the road and counts the number of vehicles, up to and...
-
Today, you start working for University of Houston as administrative staff. You decided to invest $500 a month in a fund that is expected to earn 6 percent annual interest. If you start monthly...
-
2. Moon has been investing $2,500 quarterly for the past 10 years in an equity mutual fund. How much is the fund worth now assuming she has earned 8.5% compounded quarterly on her investment? N =...
-
3. Alex wants to give his daughter $75,000 to tour Europe after graduation in 5 years. How much should he invest today at an annual interest rate of 10% to have $75,000 in 5 years? N= I/Y= PV= PMT=...
Study smarter with the SolutionInn App