RIGHT TRIANGLE STUFF

In each of the following, c is the hypotenuse, γ the right angle, a the leg opposite angle a , and b the leg opposite angle β .

1. α = 45° , c = 4 2. β = 60° , a = 3 3. a = 5, b = 6   4. a = x, b = 1   5. a = 2, c = 6. c = x, a = 1    7. b = y, c = 2 8. α = 30° , a = x	Find a, b, tan β Find b, c, sin β , sec α Find c, sin α , tan β Find c, sin α , tan β Find b, cos α , tan α Find b, sin α , sin β , tan β Find a, sin α , cos α , tan β Find b, c, tan β
ANSWERS:

1.  a = b = 2√2     tan β = 1	2.  b = 3√3     c = 6     sin β = √3/2     sec α = 2√3/3	3.  c = √61     sin α =     tan β = 6/5	4.   c =     sin α =     tan β = 1/x
5.   b = 2√2     cos α = √6/3     tan α = √2/2	6.  b =     sin α = 1/x     sin β =     tan β =	7.  a =     sin α =     cos α = y/2     tan β =	8.   b = x√3     c = 2x     tan β = √3