Trigonometry equations

Mathematics
Tutor: None Selected Time limit: 1 Day

tan(y)=1 

Find cos(y) and sec(y) and sin(y)

Apr 8th, 2015

Use the identity: 1 + tan^2 y = sec^2 y. Then sec^2 y = 2, and either sec y = sqrt{2} or sec y = - sqrt{2}.

There are two answers:

a) sec y = sqrt{2}; cos y = 1/sqrt{2} = sqrt{2}/2 = 0.7071;  sin y = tan y * cos y =  sqrt{2}/2 = 0.7071;   

b) sec y = -sqrt{2}; cos y = -1/sqrt{2} = - sqrt{2}/2 = - 0.7071;   sin y = tan y * cos y = - sqrt{2}/2 = - 0.7071. 

Apr 8th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Apr 8th, 2015
...
Apr 8th, 2015
Dec 8th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer