A right triangle is given with the legs a and b and the hypo

A right triangle is given with the legs a and b, and the hypotenuse c. (The angles across from the corresponding sides are A, B and C). If a = 30 and c=40. Find: (4pt) a. leg b. b. Angle A Convert/7 to degree measure. Round your answer to the nearest degree. Solve: (Give your answer in radian measure!)(8pt) a. Sin x = .2 b. Cos x-2/3 c. Tan x=5 d. Cot x- - 2 e. Sec x = 4 f. Csc x = 1 g, 3sin x = 2 h. Sin x-2 sin x-0 3. 4. 5.

Solution

3)C=90⁰

by law of sines a/sinA=c/sinC

30/sinA=40/sin90⁰

sinA=30/40

A=48.59⁰

B=180-90-48.59=41.41⁰

by law of sines b/sinB=c/sinC

b/sin41.41⁰=40/sin90⁰

b=40sin41.41⁰

b =26.46

4)/7

=(/7)*(180^o/)

=180^o/7

=25.7⁰

=26⁰