IAL Edexcel P3 Trigonometric Functions

IAL Edexcel P3 Trigonometric Functions

Use the CAST diagram

Understand the definitions of SECANT, COSECANT AND COTANGENT

Be able to sketch their graphs and indentify Range and Domain

Multiple Choice

Rewrite using an acute angle

$$\sin\left(150\right)$$  

• $$\sin\left(50\right)$$  

• $$\sin\left(20\right)$$  

• $$\sin\left(100\right)$$  

• $$\sin\left(30\right)$$  

Multiple Choice

Rewrite using an acute angle

$$\sin\left(-30\right)$$  

• $$-\sin\left(50\right)$$  

• $$-\sin\left(30\right)$$  

• $$\sin\left(210\right)$$  

• $$\sin\left(30\right)$$  

Multiple Choice

Rewrite using an acute angle

$$\cos\left(300\right)$$  

• $$\cos\left(-60\right)$$  

• $$-\cos\left(30\right)$$  

• $$-\cos\left(60\right)$$  

• $$\cos\left(60\right)$$  

Multiple Choice

Rewrite using an acute angle

$$\tan\left(100\right)$$  

• $$-\tan\left(-80\right)$$  

• $$-\tan\left(80\right)$$  

• $$\tan\left(80\right)$$  

• $$-\tan\left(100\right)$$  

Multiple Choice

Which fraction represents  $$\sin\left(\theta\right)$$  

• $$\frac{a}{b}$$  

• $$\frac{a}{c}$$  

• $$\frac{b}{c}$$  

• $$\frac{b}{a}$$  

Multiple Choice

Which fraction represents  $$\cos\left(\theta\right)$$  

• $$\frac{a}{b}$$  

• $$\frac{a}{c}$$  

• $$\frac{b}{c}$$  

• $$\frac{b}{a}$$  

Open Ended

If the blue angle is  $$\theta$$  why is the pink angle  $$\left(\frac{\pi}{2}-\theta\right)$$   

Multiple Choice

Which fraction represents  $$\cos\left(\frac{\pi}{2}-\theta\right)$$  

• $$\frac{a}{b}$$  

• $$\frac{a}{c}$$  

• $$\frac{b}{c}$$  

• $$\frac{b}{a}$$  

Multiple Choice

Which fraction represents  $$\sin\left(\frac{\pi}{2}-\theta\right)$$  

• $$\frac{a}{b}$$  

• $$\frac{a}{c}$$  

• $$\frac{b}{c}$$  

• $$\frac{b}{a}$$  

Using SOH, CAH, TOA

Multiple Choice

Which identity is correct?

• $$\sin^2x+\cos^2x=-1$$

• $$\sin^2x+\cos^2x=1$$

• $$\sin^2x-\cos^2x=1$$

• $$\sin^2x-\cos^2x=-1$$

Multiple Choice

Which identity is correct?

• $$\frac{\sin x}{\cos x}=\tan x$$

• $$\frac{\cos x}{\tan x}=\sin x$$

• $$\frac{\cos x}{\sin x}=\tan x$$

• $$\frac{\tan x}{\sin x}=\cos x$$

What is a Reciprocal?

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What is the reciprocal of  $$\sin\left(x\right)$$  

• $$\frac{1}{\cos\left(x\right)}$$  

• $$\sin^{-1}\left(x\right)$$  

• $$\arcsin\left(x\right)$$  

• $$\frac{1}{\sin\left(x\right)}$$  

Reciprocal Functions

Multiple Choice

What is  $$\operatorname{cosec}\left(30\right)$$  

• $$\frac{1}{2}$$  

• $$\frac{\sqrt{3}}{2}$$  

• $$2$$  

• $$\frac{2}{\sqrt{3}}$$  

Multiple Choice

What is  $$\operatorname{cosec}\left(\frac{\pi}{4}\right)$$  

• $$\frac{\sqrt{2}}{2}$$  

• $$\frac{\sqrt{3}}{2}$$  

• $$\frac{2}{\sqrt{2}}$$  

• $$\frac{2}{\sqrt{3}}$$  

Multiple Choice

What is  $$\sec\left(\frac{\pi}{3}\right)$$  

• $$2$$  

• $$\frac{\sqrt{3}}{2}$$  

• $$\frac{2}{\sqrt{2}}$$  

• $$\frac{2}{\sqrt{3}}$$  

Multiple Choice

What is  $$\cot\left(30\right)$$  

• $$\frac{\sqrt{3}}{3}$$  

• $$\frac{\sqrt{3}}{2}$$  

• $$\frac{2}{\sqrt{2}}$$  

• $$\frac{3}{\sqrt{3}}$$  

Multiple Choice

What does

$$\sec^2x$$  =

• $$1+\cos^2x$$  

• $$1+\cot^2x$$  

• $$1+\tan^2x$$  

• $$1+\sin^2x$$  

Multiple Choice

What does

$$\operatorname{cosec}^2x$$  =

• $$1+\cos^2x$$  

• $$1+\cot^2x$$  

• $$1+\tan^2x$$  

• $$1+\sin^2x$$