Can someone help with these problems I got a test on Thursday and I don't know how to do these. I can't use a cal by the way.
1. What is tan(2π/3)?
I know that tan is y/x so it is -1/2, sqroot 3/2 so how would I put this in an equation?
2. If t^(2) = ln(1 + x) − ln(1 − x), what is x in terms of t?
3. What are all solutions of the equation: sin^(2) x + 2 sin x = 5/4?
4. If f (x) = √4x^(2) + 8, x
≥ 0, what is f ^(− 1) (x)?
5. sin(2 cos^(−1) x) is equivalent to
6. If f (x) = 1+sin x^(2) −sin x , −pie/2 ≤ x ≤ pie/2 , what is f^(−1) (x)?
7. Whats equivalent to 4a/(2/b) + (1/2)
8. √12 x Squareroot y/4
9. What is the domain of f (x) = 2 − ln(x^(2) − 9)?
10. A water tank is initially 3/5 full. After adding 5 gallons of water, it is 2/3 full. What is the capacity of the tank in gallons? I got 75 for this am I right? 3/5= 18/30, 2/3=20/30 and 2= 5 gallons so 2/30= 15x5=75