Question: Prove the identity sin 2x =2tan x / (1 + tan x)

Prove the identity sin 2x =2tan x / (1 + tan x)

Prove the identity sin 2x =2tan x / (1 + tan x)

Step by Step Solution

★★★★★

3.38 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock 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 Mathematics Questions!

Q:

Use the identity sin 2x = 2 sin x cos x to find d/dx (sin 2x). Then use the identity cos 2x = cos 2 x - sin 2 x to express the derivative of sin 2x in terms of cos 2x.

Q:

Prove the identity sin x + 2 sin 3x + sin 5x = 4 cos x sin 3x. Find the general solution (in radians) of the equation sin x + sin 3x + sin 5x = 0.

Q:

Prove each of these identities. a. sin x/ tan x = cos x b. cos x sin x/ tan x = 1 sin 2 x c. 1 sin 2 x/cos x = cos x d. e. (sin x + cos x) 2 = 1 + 2 sin x cos x f. tan 2 x sin 2 x = tan 2 x sin 2...

Q:

For the following exercises, prove the identity. cos(a + b) cos(a - b) 1 tan a tan b 1 + tan a tan b

Q:

Consider the integral I = sin 2 x cos 2 x dx. a. Find I using the identity sin 2x = 2 sin x cos x. b. Find I using the identity cos 2 x = 1 - sin 2 x. c. Confirm that the results in parts (a) and (b)...

Q:

Prove the identity sin x 7 sin x Use the Subtraction Formula for Sine and then simplify sin x sin x sin x It II cos x sin 77 1 cos x 0

Q:

prove the identity sin 2 sec 2x tan 2x 1 prove the identity sinA2((secA2x)/(tanA2x))=1

Q:

18. Find the equation for a line which passes through the points (1, 7) and (3,1). . Write the equation in slope-intercept form. Show work. 19. Find the exact solutions and simplify as much as...

Q:

Evaluate sin x cos x dx by four methods: (a) The substitution u = cos x, (b) The substitution u = sin x, (c) The identity sin 2x = 2 sin x cos x, and (d) Integration by parts. Explain the different...

Q:

Develop the parametric equations of a hyperbola by following these steps. a. Write the equation of a unit hyperbola in standard form using x and y. b. Replace x with 1 / cos t and solve for y in...

Q:

Compare between ERP and SAP. Give a description of each ERP, and each associated and the purpose of each ERP

Q:

From point A located on a highway (Fig. 1.2) one has to get by car as soon as possible to point B located in the field at a distance l from the highway. It is known that the car moves in the field...

Q:

What is the basic idea behind the percentage of sales approach?

Q:

Outdoor Expo provides guided fishing tours. The company charges $300 per person but offers a 20% discount to parties of four or more. Consider the following transactions during the month of May. May...

Q:

The following is an excerpt from a conversation between Evan Eberhard, the warehouse manager for Greenbriar Wholesale Co., and its accountant, Marty Hayes. Greenbriar operates a large regional...

Q:

How much money does a typical family of four spend at a McDonalds restaurant per visit? The amount is a normally distributed random variable with a mean of $16.40 and a standard deviation of $2.75....

Q:

The following is a graph of a density function. a. Determine the density function. b. Find the probability that X is greater than 10. c. Find the probability that X lies between 6 and12. 10 0 20

Q:

Thorup Company had gross wages of $200,000 during the week ended December 10. The amount of wages subject to social security tax was $180,000, while the amount of wages subject to federal and state...

Q:

numbers lottery illumination certain Instructions: Choose a word from this word bank to complete each quote about statistics. uncertainty approximate experment truth accuracy assumptions averages...

Q:

Hello I need help with this question please , thank you Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis. y = tan x, OSXsx/4; x-axis O A....

Q:

Please #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 \f21. tan x sec x dx 22 . tan'0 sec*0 de 61. If "/4 tan'x sec x dx = I, express the value of of* tan'x sec x dx in terms of 1. 23. tan x...

Q:

1 Example 4 Express tan Solution We write ii Take x cos 0 then proceeding as above we get sin tan COS X 1 sin x Example 5 Write cot Therefore cot 3 tan tan tan tan 1 X 1 x 1 1 COS X Solution Let x...

Q:

Question 9: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of functions in parentheses. For example, sin (2x) 7cos (x) dx = Please explain, in your own...

Q:

Illustrate l Hospitals Rule by graphing both f(x)/g(x) and f(x)/g(x) near x = 0 to see that these ratios have the same limit as x → 0. Also calculate the exact value of the limit. 65. f(x) = e -...

Q:

Please #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 \f21. tan x sec x dx 22 . tan'0 sec*0 de 61. If "/4 tan'x sec x dx = I, express the value of of* tan'x sec x dx in terms of 1. 23. tan x...