Due Tomorrow! Solving Trig equations
Hey, I'm stuck on these 5 problems and can't seem to figure out what's what. I'm supposed to express in terms of *blah* + 2k(pi) i believe. Any help appreciated. I'll continue working on them and check back later. I really need the points for these, so I kinda need to get em all right ^_^
1. Find all solutions of the following. Express in radians.
a. 2cos^2(x-3)cos(x+1) = 0
b. 4tan(3x - 4) = 0
c. sin(2x - 1) = -1/2
2. Find the exact solutions of sin(x+2)csc(x) = 3 on the interval [0, 2(pi)]. Express in radians.
3. Find all solutions of csc(x) + cot(x) = sqrt(3). express answer in radians. Check answers. Hint: rewrite in terms of sine and cosine, clear fractions by multiplying through by the denominator, and square both sides.