Register
Verify the equation is an identity cos (180 - x) = - cos x Show Work plzzz!!!
42.9k views
7 votes
Verify the equation is an identity
cos (180 - x) = - cos x

Show Work plzzz!!!

Verify the equation is an identity cos (180 - x) = - cos x Show Work plzzz!!!-example-1
User Mylescarrick
by
8.0k points

1 Answer

7 votes

check your Unit Circle for the values of at 180°


cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(180-x)=-cos(x) \\\\[-0.35em] ~\dotfill\\\\ cos(180^o-x)\implies cos(180^o)cos(x)+sin(180^o)sin(x) \\\\\\ (-1)cos(x)+(0)sin(x)\implies -cos(x)

User TheNewOne
by
8.1k points
← Prev Question Next Question →

No related questions found

Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
The cost of 5 similar digital cameras and 3 similar video cameras is 3213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and a video camera. How much does he
Link Copied!