Question: a. Given that sin 2 + cos 2 = 1, show that 2 sin (cos sin ) = 0. b. Hence, or

a. Given that sin 2θ + cos 2θ = 1, show that 2 sin θ (cos θ − sin θ) = 0.

b. Hence, or otherwise, solve the equation sin 2θ + cos 2θ = 1 for 0 ≤  θ < 360°.

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a We are given the equation sin 2 cos 2 1 and want to show that 2 sin cos sin 0 Lets start with the ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Pearson Edexcel A Level Mathematics Questions!

Q:

a) Factorise 10x 29x 21. b) Hence or otherwise solve the equation 10x 29x = 21.

Q:

Choose the correct option for the following 41. _______________ is the sale of a foreign currency when the exchange rate falls or is lower, in the expectation that it will fall even lower in the...

Q:

i) Show that the equation 2 sin x cos x = 1 can be written as a quadratic equation in cos x. ii) Solve the equation 2 sin x cos x = 1 for 0 x 180. iii) Hence solve the equation for 0 x 180. 2...

Q:

CIRCULAR FUNCTIONS/TRIGONOMETRIC EQUATIONS AND IDENTITIES. A SUMMARY OF BASIC IDENTITIES AND FORMULAE Pythagorean Identities: sin 2 cos 2 1 1 tan 2 sec 2 1 cot 2 csc2 Reciprocal and Quotient...

Q:

a. Given that 2 sin x = cos (x 60), show that tan x = 1/4 3. b. Hence solve, for 0 x 360, 2 sin x = cos (x 60), giving your answers to 1 decimal place.

Q:

a. Given that 3 sin 2 + 2 sin 2 = 1, show that tan 2 =1/3. b. Hence solve, for 0

Q:

Write a matlab code for forward kinematics using DH method. 1. Load the DH table to a matrix (make sure all the parameters are numbers and not symbles). 2. Perform DH method to get the transformation...

Q:

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.

Q:

a) i) Given that show that tan = 3 ii) Solve the equation for 0 360. iii) Solve the equation for 0 0 360. b) i) Given that 2 sin 2 cos2 = 1, show that 2 cos 2 + cos 1 = 0. ii) Solve the...

Q:

1. Given the quadratic function f(x) = 2x^2+7x+3 and the linear function g(x) = x + 3, the range of the quotient function (f / g)(x) is: a) { y R | y - 3 } b) { y R | y 3 } c) { y R | -5 y 5 } d) { y...

Q:

Consider the vectors u = = 2i-j2k and v= ai +2j + 4k, where a is a real number. (a) Calculate the direction cosines of u. (b) State the value of a such that u and v are parallel. (c) State the value...

Q:

If brokerage fees go to zero, what does the Baumol-Tobin analysis suggest Grant Smiths average holdings of money should be?

Q:

Question 2 3 4 pts Brother Snow has set up Snowflake Accounting, PLLC , a professional limited liability company. In the course of his work, he misses a large deduction for one of his clients,...

Q:

Name some non-technical or cultural knowledge management systems.

Q:

Implement the test suggested in Problem 9.36, and report a two-sided p-value? Ophthalmology Refer to the data set in Tables 7.9 and 7.10 (p. 274). Table 7.9: Randomization assignment Eyo Eye Subject...

Q:

Compare the results in Problem 9.37 with those obtained in Problem 7.78 (p. 274)? Ophthalmology Refer to the data set in Tables 7.9 and 7.10 (p. 274). Table 7.9: Randomization assignment Eyo Eye...

Q:

Answer the question in Problem 7.79 (p. 274) using nonparametric methods, and compare your results with those obtained using parametric methods?

Q:

HW Problem 6.2 Aart Co. uses the perpetual inventory system and had the following tr Units Price Date Transaction 1/1 Beginning Inventory 180 x $14.40 4/19 Purchase 5/6 Sale 5/12 Purchase 7/15...

Q:

Florence Nightingale is an accounting executive who is looking to live out her lifelong dream of owning a caf. After much searching online, she finds the perfect caf in St. Kilda and decides to sell...

Q:

Question: 15-29 (OBJECTIVES 15-2, 15-3) Fastjet Airlines Limited 15-29 (OBJECTIVES 15-2, 15-3) Fastjet Airlines Limited is a low-cost airline. Fastjet commenced operations in November 2017 and is...