Trigonometric graphs and identitiesEdexcel A-Level Maths: Flashcards

What these 13 flashcards ask

State the identity for \tan\theta.
State the Pythagorean identity.
Rearrange: \sin^2\theta=?
What is the period of y=\sin x and y=\tan x?
What is the range of y=\cos x?
Where are the asymptotes of y=\tan x?
What transformation maps y=\sin x to y=\sin(x+30^\circ)?
What transformation maps y=\tan x to y=\tan2x?
Express \sin(180^\circ-x) in terms of \sin x.
Symmetry: \cos(-x)=? \sin(-x)=?
What is the difference between = and \equiv?
How should you start proving an identity?
Maximum and minimum of y=2+3\cos(x-40^\circ)?

Exam questions on Trigonometric graphs and identities

The curve $C$ has equation $y=\sin(x+30^\circ)$ , where $x$ is in degrees and $0\le x\le360$ .
State the coordinates of the maximum point of $C$ in the given interval.2 marks
The function $f$ is defined by $f(x)=\tan2x$ , where $x$ is measured in degrees.
Describe fully the single transformation that maps the curve $y=\tan x$ onto the curve $y=\tan2x$ .2 marks
The angle $\theta$ is acute and $\sin\theta=\frac35$ .
Find the exact values of $\cos\theta$ and $\tan\theta$ .3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).