- 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 radians to degrees
Converting degrees to radians
Using the area of a sector formula to find unknown quantities
Using the area of a segment formula to find unknown quantities
Using the arc length formula to find unknown quantities
Finding the length of an arc using radians
Finding the area of a sector using radians
Finding the area of a segment
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 dilation
Sketch trigonometric functions with translation
Sketch trigonometric functions with multiple transformations
Finding the amplitude of sine or cosine functions
Finding the period of trigonometric functions
Using the reverse chain rule to integrate trigonometric functions
Differentiate trigonometric functions involving the chain rule
Differentiate trigonometric functions involving the product rule
Application of the derivative of the trigonometric functions
Integrating basic trigonometric expressions
Integrals of the type f '(x)(f(x))^n dx
Finding the volume of solids of revolution using techniques of integration involving the trigonometric functions
Integration of (sinx)^2 and (cosx)^2
Integrals involving trigonometric substitution
Finding the anti-derivative of a trigonometric function by considering a derivative
Differentiate trigonometric functions involving the quotient rule
Finding the area of regions using techniques of integration involving the trigonometric functions
Differentiate trigonometric functions with linear arguments
Product rule of differentiation
Quotient 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 be in contact to match you with one of our top tutors and book your first session
Starting at
per session
Fully flexible
PAYG and bundle plans
Use anytime
Access to practice questions