Math Problem Statement

sin x = 1/4, x is in quadrant 2, find find sin x/2, cos x/2, tan x/2

Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Half-Angle Identities
Quadrants

Formulas

sin^2 x + cos^2 x = 1
sin(x/2) = ±√((1 - cos x) / 2)
cos(x/2) = ±√((1 + cos x) / 2)
tan(x/2) = sin(x/2) / cos(x/2)

Theorems

Pythagorean Identity
Half-Angle Identities

Suitable Grade Level

Grades 10-12