menu
Qammunity
Login
Register
My account
Edit my Profile
Private messages
My favorites
Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question
Find tan θ if sec θ = square root of twenty six divided by five and sin θ < 0.
asked
Aug 23, 2018
183k
views
3
votes
Find tan θ if sec θ = square root of twenty six divided by five and sin θ < 0.
Mathematics
high-school
Pierce
asked
by
Pierce
8.1k
points
answer
comment
share this
share
0 Comments
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1
Answer
6
votes
hello : sec(θ) = (√26)/5 and:
sin (θ) < 0
note : sec(θ) =1/cos(θ)
so : 1/cos(θ) = (√26)/5
cos(θ) = 5/√26
cos²(θ)+sin²(θ)=1
25/26+sin²(θ)=1
sin²(θ)= 1/26
sin(θ)= -(1/√26) ...because :
sin θ < 0
tan
(θ)= sin(θ)/cos(θ) = -(1/√26) /5/√26 = -1/5
Oron
answered
Aug 29, 2018
by
Oron
7.5k
points
ask related question
comment
share this
0 Comments
Please
log in
or
register
to add a comment.
← 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
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
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.
Twitter
WhatsApp
Facebook
Reddit
LinkedIn
Email
Link Copied!
Copy
Search Qammunity