In this video we talk about how to shift the curve y=sin(x) to the right or to the left, by adding a constant inside the bracket e.g. by writing y=sin(x+c) this will move the curve to the left by c units. This only works when coefficient of x is 1. In the next video we …
In this tutorial we show you guys how to shift the graph up and down by adding or subtracting a constant at the end of the equation i.e. y=sin(x)+c
In this lesson we talk about how you can adjust the period of a trigonometric function by multiplying the input by a factor. E.g. y=sin(kx) would have a period of 360/k (in degrees) or 2pi/k (in radians).
In this lesson we talk about how to stretch the periodic function y=sin(x) vertically by adjusting the amplitude from 1 to A e.g. y=Asin(x) so A is the amplitude and vertical dilation factor.
In this lesson we show you how to draw the cosine function as well as discuss the concepts of domain, range, and period of a cosine function.
In this lesson we show you how to draw the sine curve or the sine graph – in other words, a graph of the sine function, y=sin(theta). Please make sure you have done the basic trigonometry and unit circle tutorials so you understand what the sine function does and why you can have an input …
Another tutorial on how to prove trig identities with 2 practice questions. The questions are: 1) 3sin^2x-2cos^2x=5sin^2x-2. 2) cos^2x+tan^2x=sec^2x-sin^2x. Have a go then come and see the answer!
In this tutorial we give you a practice question on proving trig identities. The question is: Prove that (1-sinx)/(1+sinx)=(secx-tanx)^2. Have a go then come and see the answer! p.s. Need to remember how to factorise and expand binomials 🙂
In this tutorial we give you a practice question on proving trig identities. The question is: Prove that (cot^2(x)-1)/(cot^2(x)+1) = 1-2sin^2(x). Have a go then come and see the answer!
In this tutorial we talk about some more Trig identity proofs, including: tan(x) = sin(x) / cos(x) sin^2(x) + cos^2(x) = 1 tan^2(x) + 1 = sec^2(x) cot^2(x) + 1 = cosec^2(x)