Prove each of these identities. a. sin x/ tan x = cos x b. cos x sin
Question:
Prove each of these identities.
a. sin x/ tan x = cos x
b. cos x sin x/ tan x = 1 – sin2 x
c. 1 – sin2 x/cos x = cos x
d.
e. (sin x + cos x)2 = 1 + 2 sin x cos x
f. tan2 x – sin2 x = tan2 x sin2 x
Transcribed Image Text:
cos' x – sin? x cos? a + sin x = COS x Cos x + sin x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 91% (12 reviews)
ANSWER a sin x tan x cos x Using the identity tan x sin x cos x we can rewrite the lefthand side of the equation as sin x sin x cos x cos x Simplifying the lefthand side by canceling out the sin x ter...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 IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
Prove that each of these identities is true. You may use any of the identities that have been proved in this chapter. a. secA - sin A tan A = cos A b. 1/sin2A - 1/tan2A = 1 c. secAcosB - tanAsin -...
-
Prove each of these identities. a. cos 2 x sin 2 x = 2 cos 2 x 1 b. cos 2 x sin 2 x = 1 2 sin 2 x c. cos 4 x + sin 2 x cos 2 x = cos 2 x d. 2(1 + cos x) (1 + cos x) 2 = sin 2 x e. 2 (sin x +...
-
Prove each of these identities. a. tan x + cot x = sec x cosec x b. sin x + cos x cot x = cosec x c. cosec x sin x = cos x cot x d. sec x cosec x cot x = tan x
-
The Kingdom of Bhutan measures the happiness of its population, and government policy is formulated to increase Bhutans GNH (gross national happiness). Read about how the GNH is measured (try...
-
Most fish have a very difficult time surviving at elevations much above 3500 m. How could Henrys law be used to account for this fact?
-
What is coherence and why is it worth pursuing?
-
Benger Engineerings trial balance contains the following account balances at 30 June. Required (a) Prepare the closing entries under the perpetual inventory system. Debit Credit Inventory Belinda...
-
Hawke Skateboards is considering building a new plant. Bob Skerritt, the companys marketing manager, is an enthusiastic supporter of the new plant. Lucy Liu, the companys chief financial officer, is...
-
You plan to deploy a dockerized application in an AWS ECS cluster. The application needs access to an S 3 bucket to read files. The ECS containers should have the AmazonS 3 ReadOnlyAccess permission....
-
The nameplate on a 50-MVA, 60-Hz single-phase transformer indicates that it has a voltage rating of 8.0-kV: 78-kV. An open-circuit test is conducted from the low-voltage side, and the corresponding...
-
Solve each of these equations for 0 x 360. a. cot x = 0.3 b. sec x = 4 c. cosec x = -2 d. 3 sec x 5 = 0
-
Solve the following equations. i. 4 sin 2x + 5 cos 2x = 0 for 0 x 180. ii. cot2 y + 3 cosec y = 3 for 0 y 360 iii. cos(z + /4) = - for 0 z 2 radians, giving each answer as a multiple of
-
Suppose the circuit in Fig. 7.40 has been connected for a long time when suddenly, at time t = 0, switch S is thrown, bypassing the battery. (a) What is the current at any subsequent time t?? (b)...
-
Government entities engage in business type activities, similar to private-sector enterprises, which generate revenue by providing goods and services. These activities cover costs through user fees...
-
1. What is a credit card, and how does it work? 2. What factors should individuals consider when choosing a credit card? 3. How does interest accrue on credit card balances, and what is the typical...
-
Assume that the First StatBaxter Equipment earned $300,000 last year. Its owners' equity totaled $2,500,000. Based on these amounts, what is the firm's return on owners' equity?
-
Assess the strategic implications of change management with specific reference to the impact of organisational culture. Required: Critically examine how change management can have a significant...
-
i=0 i=1 i=2 A range bond is a structured security, which can be described as follows. It is like a standard fixed-rate coupon bond, but it pays the coupon at some given time i only if the reference...
-
Find the coordinate vector of v relative to the basis S = (v1, v2, v3) v = (2, - 1, 3), v1 = (1, 0, 0), v2(2, 2, 0), v3 = (3, 3, 3)
-
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (t 2 , sin t - t cos t, cos t + t sin t), t > 0
-
Explain psychographics and lifestyle analysis. Explain how they might be useful for planning marketing strategies to reach college students, as opposed to average consumers.
-
A supermarket chain is planning to open a number of new stores to appeal to Hispanics in southern California. Give some examples that indicate how the four Ps might be adjusted to appeal to the...
-
How should social class influences affect the planning of a new restaurant in a large city? How might the four Ps be adjusted?
-
After analysis, following results were obtained. Ca= 60, Mg= 48, Na= 103.5, K= 19.5, HCO3- 244, SO4=220.8, Cl=78.1 Find Total Hardness, Carbonate Hardness, Non-Carbonate Hardness.
-
A foreign exchange dealer at JP Morgan in NY can invest $5m or the foreign currency equivalence of the bank's short term funds in a covered interest arbitrage with Denmark. She has the following...
-
Use Gaussian elimination to find all solutions. 12x2+3x3 = 11 4x1 + x2 x3 = 4 21 - - 2+3x3 = 10 - 3x16x26x3 = 9 2x15x2+4x3 = 6 - -1+16x214x3 = -3 x1+x2 x3 = 7 - 4x1 x2+5x3 = 4 - 2x12x2 3x3 = 0 -...
Study smarter with the SolutionInn App