Math Problem Statement

y=5sin^2 (x) find the equation of the tangent at x= pi/6

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Trigonometry
Tangent Line

Formulas

Derivative of y = 5sin^2(x): dy/dx = 5sin(2x)
Tangent line equation: y - y1 = m(x - x1)
Double-angle identity: sin(2x) = 2sin(x)cos(x)

Theorems

Chain rule
Point-slope form
Double-angle identity

Suitable Grade Level

Grades 10-12