- Mathematical Methods
- Year 12
Trigonometric Functions
approx. 8 hrs
5 topics
32 concepts
Gain proficiency in Trigonometric Functions to approach your examinations with confidence.
approx. 8 hrs
5 topics
32 concepts
Gain proficiency in Trigonometric Functions to approach your examinations with confidence.
Year 12 Trigonometric Functions for Mathematical Methods is aligned with the Australian Curriculum. In the Trigonometric Functions program, students use circular measure when applying techniques from the study of Trigonometry, Geometry and Calculus to solve a variety of questions ranging in complexity.
This learning program is made up of the following 5 topics, broken down into 32 concepts.
Converting degrees to radians
Converting radians to degrees
Using the area of a sector formula to find unknown quantities
Using the arc length formula to find unknown quantities
Finding the area of a segment
Using the area of a segment formula to find unknown quantities
Finding the area of a sector using radians
Finding the length of an arc using radians
Approximations to sin x, cos x, tan x, when x is small
Trigonometric equations for angles of any magnitude in radians
Exact values in radians
Use the result for the function (sin x)/x for the limit as x approaches zero
Sketch trigonometric functions with multiple transformations
Sketch trigonometric functions with translation
Finding the period of trigonometric functions
Sketch trigonometric functions with dilation
Finding the amplitude of sine or cosine functions
Integrating basic trigonometric expressions
Differentiate trigonometric functions involving the product rule
Integration of (sinx)^2 and (cosx)^2
Integrals involving trigonometric substitution
Using the reverse chain rule to integrate trigonometric functions
Finding the area of regions using techniques of integration involving the trigonometric functions
Application of the derivative of the trigonometric functions
Differentiate trigonometric functions with linear arguments
Integrals of the type f '(x)(f(x))^n dx
Differentiate trigonometric functions involving the quotient rule
Finding the anti-derivative of a trigonometric function by considering a derivative
Differentiate trigonometric functions involving the chain rule
Finding the volume of solids of revolution using techniques of integration involving the trigonometric functions
Quotient rule of differentiation
Product rule of differentiation
Learning Content
An Expert Tutor
Reporting
Simply pick a time that works for you
Add your payment details securely online
We'll book in your first session and match you to an expert tutor
Starting at
per session
Fully flexible
PAYG and bundle plans
Use anytime
Access to practice questions