Question

Given sinx= −3/5 when 3π/2 < x < 2π, find tan x/2

A. -√3
B. -1/3
C. -1
D. -√3/3

Answer 1

B -⅓

Explanation:

sinx = -3/5

Adjacent² = 5² - 3² = 16

Adjacent = 4

tan(x) = -3/4

-¾ = 2tan(½x)/[1 - tan²(½x)]

-3 + 3tan²(½x) = 8tan(½x)

3tan²(½x) - 8tan(½x) - 3 = 0

tan(½x) = 3, -⅓

Answer 2

• sinx = -3/5

Adjacent² = 5² - 3² = 16

• Adjacent = 4

tan(x) = -3/4

-¾ = 2tan(½x)/[1 - tan²(½x)]

-3 + 3tan²(½x) = 8tan(½x)

3tan²(½x) - 8tan(½x) - 3 = 0

tan(½x) = 3, -⅓

Hope it helps you