Question: In Exercises 1-4, use the given conditions to (a) determine the quadrant in which u / 2 lies, and (b) find the exact value of

In Exercises 1-4, use the given conditions to (a) determine the quadrant in which u / 2 lies, and (b) find the exact value of sin(u / 2), cos(u / 2), and tan(u / 2) using the half-angle formulas.
1. cos u = 7 / 25, 0 < u < π / 2
2. sin u = 5 / 13, π / 2 < u < π
3. tan u = - 5 / 12, 3π / 2 < u < 2π
4. cot u = 3, π < u < 3π / 2

Step by Step Solution

★★★★★

3.39 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 cos u 7 25 0 u 2 a Because u is in Quadrant I u 2 is also in quadrant I b 2 sin u 5 1... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1383-M-C-P-E(1605).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Use the given conditions to (a) Determine the quadrant in which u / 2 lies, and (b) Find the exact values of Sin (u / 2), cos (u / 2), and tan ( u / 2) using the half-angle formulas. 1. Tan u = 4 /...

In Exercises 1-4, use the given conditions to find the values of all six trigonometric functions. 1. sec x = - 5 / 2, tan x 0 3. sin = - 3 / 4, cos > 0 4. cos = 2 /...

In Exercises 1-2, use the given conditions to find the exact values of sin 2u, cos 2u, and tan 2u using the double-angle formulas. 1. sin u = 3 / 5, 3 / 2

Please generate answer to question in picture. Thank you. D Question 4 4 pts Given tan u = 2, with u in quadrant III, and cos v = _ 12 13 ' , with v in quadrant II, find exact value sin (u + v)

AutoSave OFF n A 2 0 5 ... w- Doc1math (1) - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Picture Format ? Tell me Share Comments Calibri (Bo... v 12 A" A Aa Ap 24 T...

project 3 pre calc Take this test as you would take a test in class. After you are finished, check your work against the answers given in the back of the book. 1. Consider an angle that measures _...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

In Exercises 1-4, find the exact value of the trigonometric expression given that tan u = 3 / 4 and cos v = - 4 / 5.( u is in Quadrant I and v is in Quadrant III). 1. sin (y + v) 2. tan (u + v) 3....

In Exercises 9 14 use the given information about the angle to find the exact value of a sin 20 b cos 20 c tan 20 9 sin 0 0 in quadrant II 5 13 11 tan 04 sin 0 0 12 sec 0 3 sin 0 0 13 tan 0 2 0 T 2 3...

Solve X Points: 0 of 1. Save Use the given information to find the exact value of each of the following a. sin 20 b. cos 20 c. tan 20 13 sin 8= 14 , 0 lies in quadrant Il WWW a. sin 20 = (Simplify...

If the First National Bank sells $10 million of its securities with maturities greater than two years and replaces them with securities maturing in less than one year, what is the income gap for the...

Enormo Corporation is a large multinational audit client of your CPA firm. One of Enormos subsidiaries, Ultro, Ltd., is a successful electronics assembly company that operates in a small Caribbean...

A study was made by a retail merchant to determine the relation between weekly advertising expenditures and sales (a) Plot a scatter diagram. (b) Find the equation of the regression line to predict...

6. Given the following data for the country of Seymour, determine the value of national income. Personal income 589 Undistributed corporate profits 42 Corporate profit taxes 41 Other income not paid...

Find the critical values 2 R and 2 L for the level of confidence c and sample size n. c = 0.98, n = 25

Find the critical values 2 R and 2 L for the level of confidence c and sample size n. c = 0.90, n = 16

Modern Artifacts can produce keepsakes that will be sold for $60 each. Nondepreciation fixed costs are $3,000 per year and variable costs are $30 per unit. a. If the project requires an initial...

Williams software has 7.9% coupon bonds on the market with 22 years to maturity. The bonds make semi annual payments and currently sell for 109% of par. A. What is the current yield on the bonds? B....

The IRS provides a toll-free helpline for taxpayers to call in and get answers to questions as they prepare their tax returns. In recent years, the IRS has been inundated with tax payer calls and has...