Math Problem Statement

Find the value of the trigonometric function. Find tan(θ), given that sin(θ) = -3/4 and θ is in quadrant II.

Solution

The problem asks to find tan⁡θ\tan \theta given that sin⁡θ=34\sin \theta = \frac{3}{4} and θ\theta is in Quadrant II.

Key steps:

  1. **Understand the properties of

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Quadrants
Trigonometric Ratios

Formulas

sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
tan(θ) = sin(θ)/cos(θ)
Pythagoras' theorem: a² + b² = c²

Theorems

Pythagorean Identity
Trigonometric Functions in Quadrants

Suitable Grade Level

Grades 9-12

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