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Learning Objectives. Find the derivatives of the sine and cosine function. Find the derivatives of the standard trigonometric functions. The teaching gap: Best ideas from the world's teachers for improving education in the classroom. Differentiated instruction: A research basis.The Mathematics Learning Centre booklet Introduction to Trigonometric Functions may cosx sin2 x . Exercise 1. Differentiate the following: a. cos 3x. 64 Ways to Differentiate Instruction and Increase Student Engagement tan(x + y): tan(x-y) = tan x + tan y 1 - tan x tan y tanx- tan y 1 + tanx tan y In today's diverse classrooms, teachers must differentiate their math instruction in order to meet the needs of a variety of learners. Learning Objectives. Find the derivative of a complicated function by using Use implicit differentiation to determine the equation of a tangent line. The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x . “Differentiated instruction is a proactively planned, Look at the top row. The sec on the left has an arrow pointing to sec tan — so the derivative of secx is secx tanx. image2.png. The bottom