SOLUTION: I'm having a really hard time remembering how to solve this type of question: sin(theta) = 6/7 theta is between 90 and 180 degrees. Find the remaining trig functions. I c

Question 378695: I'm having a really hard time remembering how to solve this type of question:
sin(theta) = 6/7
theta is between 90 and 180 degrees.
Find the remaining trig functions.
I can get cosine, but after that, I'm lost.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
From sin(theta) = 6/7, we take the inverse sine (call it arcsin) of both sides and get
theta = arcsin (6/7)
Be careful that the angle theta is a second quadrant angle...180 - theta gives it to you...
Once you know cos(theta), which you said you already have, finding the rest is like this...
tan x = sin x / cos x
cot x = cos x / sin x
csc x = 1 / sin x
sec x = 1 /cos x

RELATED QUESTIONS
I am having a difficult time solving this trigonometry problem. Find theta if theta is... (answered by Alan3354)

I am having a very hard time remembering how to solve this type of system 1/40 +... (answered by bucky)

Hi there! How can I answer this question? Please explain to me the solution so I will... (answered by lwsshak3)

I am having a problem with this question...please don't just give me the answer, I would... (answered by drk,jim_thompson5910)

I have to solve a problem for theta. I have simplified it to: sin theta = -3. But... (answered by jim_thompson5910)

Solve both algebraically and graphically. 4^(3x-1)=90 log(4^3x-1)=log(90)... (answered by Earlsdon)

suppose the terminal side of a ray is between 90 and 180 degrees and sec(theta) =... (answered by robertb)

How to solve a problem like this: Find the exact value of each of the remaining... (answered by jsmallt9)

How do I express cos(theta) in terms of sin(theta)? I'm taking an online pre-cal... (answered by josgarithmetic)