Prove the equation cos(a+b).cos(a-b)=cos^2a - sin^2b. Show your solution.

Question

Shadaw6al0uchingh Shadaw6al0uchingh

04-08-2016
Mathematics

contestada

Prove the equation cos(a+b).cos(a-b)=cos^2a - sin^2b. Show your solution.

Respuesta :

Otras preguntas

What is the subject in this sentence ? My favorite bakery sell different kinds of bagels.

What’s the answer to this question

which motion causes the Coriolis effect on earth

The space that surrounds an object in a painting, setting it apart from the background is called ____.

Read the outline. i. economy a. city 1 b. city 2 ii. sights a. city 1 b. city 2 which approach does this outline use to organize the details of a comparison-and

[tex] {x}^{2} + 4x - 8[/tex]Can be written as[tex] {(x + p)}^{2} + q[/tex]Find the values of p and q

A sheet of cardboard 10 inches by 12 inches will be made into a box by cutting equal sized squares from each corner and folding up the four edges. if the area o

Dna is approximately 2.5 nm in length. of an average man is 5 ft 10 in. tall, how many dna molecules could be stacked to extend from the ground to the top of th

Many of the first miners in the colorado mountains did not find any minerals because __________

There are 36 windows in the Folsom’ house. The number of window is 3 times as many as the number of closets and 4 more than the number of doors inside the house

Panoyin Panoyin · Answer 1 · 2016-08-04T20:03:11+02:00

(cos(a + b))(cos(a - b)) = cos²(a) - sin²(b)
(cos(a)cos(b) - sin(a)sin(b))(cos(a)cos(b) + sin(a)sin(b)) = cos²(a) - sin²(b)
cos²(a)cos²(b) + sin(a)cos(a)sin(a)cos(b) - sin(a)cos(b)sin(a)cos(b) - sin²(a)sin²(b) = cos²(a) - sin²(b)
cos²(a)cos²(b) - sin²(a)sin²(b) = cos²(a) - sin²(b)
cos²(a + b) = cos²(a) - sin²(b)