Given that cos x = - 3/5 and that 90 < x < 180, find the exact

Question:

Given that cos x = - 3/5 and that 90° < x < 180°, find the exact value of:

a. sin2x

b. sin 4x

c. tan2x

d. tan1/2x

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 07:17 AM

See More Questions

Find the exact value of each expression. (a) e2In3 (b) log10 25 + log104 (c) tan (arc sin ) (d) sin (cos 1(4/5))
Find the exact value of cos (/12).
Find the exact value of each expression. a. b. c. d. -14 sin sin sin(sn(-3) sin sin cos (cos (-45))
1. Does Amazon have a special responsibility to their employees given the current COVID-19 pandemic? Are they meeting this responsibility? Why or why not? 2. How should Amazon prioritize their...
Review the material in the INNOVATION APPLICATION New Lifestyle Segments for Luxury Hotels. Do these new ventures represent a robust segmentation strategy? What other segment opportunities can be...
A well-insulated heat exchanger is to heat water (cp = 4.18 kJ/kg ¢ °C) from 25°C to 60°C at a rate of 0.4 kg/s. The heating is to be accomplished by geothermal water (cp = 4.31...
The probability that a wafer contains a large particle of contamination is 0.01. If it is assumed that the wafers are independent, what is the probability that exactly 125 wafers need to be analyzed...
Ann is a recent engineering graduate with two years experience in her current role and is currently looking at getting a Masters degree. She is currently paid $60,000 per year, which she expects to...
How is 7%, 10%, and 15% calculated under the following "Discount Rates Applied to the CFs:" highlighted below. Data below. Please include formulas and information on how problem is solved. INPUT...
Solve each equation for 0 < x < 2. a. cosec x = 2 b. sec x = 1 c. cot x = 2 d. 2cot x + 5 = 0
Given that cos x = 4/5 and that 0 < x < 90, without using a calculator find the exact value of cos(x 60).
A bottle with a volume of 0.1 m3 contains butane with a quality of 75% and a temperature of 300 K. Estimate the total butane mass in the bottle using the generalized compressibility chart.
A gas mixture consisting of 50 mol% methane and 50 mol% inert gas at 10 atm (1013 kPa) enters a reactor at 422.2 K at a volumetric flow rate of 6 dm3 s"1. Calculate (a) the concentration of methane...
How many moles of N2 are produced from exactly 0.1265 moles of Na(N3)2 according to the reaction: 4 Na(N3)2 (s) + O2(g) 12 N2 (g) + 2 Na2O(s)? 0.3795 moles 0.1265 moles O 0.2530 moles 1.518 moles
3. The following scheme describes reactions within a fatty acid synthetase. Complete the scheme with correct structures and draw the curved arrows to show how each structure is formed. thlo...
A chemical engineer is studying the rate of this reaction. 2SO3 (g) 2SO(g) + O(g) 2 He fills a reaction vessel with SO3 and measures its concentration as the reaction proceeds. Here's a graph of his...
Provide the corresponding VBT hybridization at each N atom in the structure; b ) draw the corresponding orbitals between at these nitrogens. You are recommended to represent them separately and...
A car was purchased for $1500 down and payments of $265 at the end of each month for four years. Interest is 9% compounded quarterly. (a) What was the purchase price of the car? (b) How much interest...
A business had revenues of $280,000 and operating expenses of $315,000. Did the business (a) Incur a net loss (b) Realize net income?
The lengths, Xcm, of the leaves of a particular species of tree are normally distributed with mean and variance 2 . a. Find P( X < + ). b. Find the probability that a randomly selected leaf...
Once a week, Haziq rows his boat from the island where he lives to the mainland. The journey time, X minutes, is normally distributed with mean and variance 2 . a. Given that P(20 X < 30) = 0.32...
X has a normal distribution, such that P(X > 147.0) = 0.0136 and P(X 59.0) = 0.0038. Use this information to calculate the probability that 80.0 X < 130.0.
What is the policy implication of a research question focusing on vaccinating everyone in the general population? Solve How many QALYs will $1,000 worth of measles vaccine purchase in this village?...
Connect each yearly salary to the correct paycheck payment. A. $55,000 B. $60,000 C. $26,000 D. $129,000 E. $56,000 OS $500 weekly $5,000 monthly $2,333 semi-monthly $4,961 biweekly $4,583 monthly
A professor designing a class demonstration connects a parallel-plate capacitor to a battery, so that the potential difference between the plates is 255 V. Assume a plate separation of d = 1.72 cm...

Given that cos x = - 3/5 and that 90 < x < 180, find the exact

Question:

Step by Step Answer:

We can use the Pythagorean identity sin2x cos2x 1 to find sin x sin...View the full answer

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

Students also viewed these Mathematics questions