Trig Revision

Revision Sheet: Trig Revision

Complete by Thursday 28th February

 

Worked Solutions from class

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Trigonometry 1

Mr H in 10 years

Trigonometry 1: Applying trigonometric skills to solve equations

By the end of this topic you will be able to:
• convert Degrees to Radian measure and vice versa
• recall exact values in and calculate using radian measure
• translate graphs of trig functions
• solve trigonometric equations in degrees or radians

• including those involving the wave function or trigonometric formulae or identities, in a given interval

Homework: Trigonometry HW1

Due: Monday 20th December

ALL pupils should be able to Q1-4

MOST pupils should be able to complete Q5

SOME : Not applicable for HW1

DO NOT DO Q6

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Compound Angle Formulae

New Topic: Compound Angle Formulae, MiA Unit 2 Ch3

By the end of this topic you will be able to:

• know and apply the addition formulae:
sin(A+B) = sinAcosB + cosAsinB
sin(A–B)  = sinAcosB – cosAsinB
cos(A+B) = cosAcosB – sinAsinB
cos(A–B) = cosAcosB + sinAsinB

• know and apply the double angle formulae:
sin2A  = 2sinAcosA
cos2A = cos2A – sin2A = 2cos2A – 1

• apply trigonometric formulae in solution of geometric problems

• solve trigonometric equations using compound angle formulae

 

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Trigonometric Functions & Graphs

Mr H in 10 years

New Topic: Trigonometric Functions & Graphs

By the end of this topic you will be able to:
• convert Degrees to Radian measure and vice versa
• recall exact values in and calculate using radian measure
• translate graphs of trig functions
• sketch trig functions given their equation
• solve trig equations

Homework: Trig Functions Set1

Due: Tuesday 7th October

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Trig Equations

New Topic: Trigonometric Equations

By the end of this topic you will be able to:

• identify related angles
• solve basic trigonometric equations
• calculate where trigonometric graphs and straight lines intersect
• work with exact vales
• work with trig identities

N5 Textbook Ch24

Homework: N5 HW – Trig Equations

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Graphs of Trig Functions

Mr H in 10 years

New Topic: Graphs of Trig Functions

By the end of this topic you will be able to:
• sketch and identify graphs of trig functions
• know the terms: amplitude, period, vertical and horizontal translation and phase angle
• solve problems involving graphs of trig functions

N5 Textbook Ch23

Homework: N5 HW – Trig Graphs

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Tan Lines

Compound Angle Formulae

New Topic: Compound Angle Formulae, MiA Unit 2 Ch3

By the end of this topic you will be able to:

• know and apply the addition formulae:
sin(A+B) = sinAcosB + cosAsinB
sin(A–B)  = sinAcosB – cosAsinB
cos(A+B) = cosAcosB – sinAsinB
cos(A–B) = cosAcosB + sinAsinB

• know and apply the double angle formulae:
sin2A  = 2sinAcosA
cos2A = cos2A – sin2A = 2cos2A – 1

• apply trigonometric formulae in solution of geometric problems

• solve trigonometric equations using compound angle formulae

Trigonometric Functions & Graphs

Mr H in 10 years

New Topic: Trigonometric Functions & Graphs

By the end of this topic you will be able to:
• convert Degrees to Radian measure and vice versa
• recall exact values in and calculate using radian measure
• translate graphs of trig functions
• sketch trig functions given their equation
• solve trig equations

Trigonometry

By the end of this topic you will be able to answer this question and other similar problems.

During the topic you will explore the relationships between the sides of right-angled triangles and use the knowledge gained to solve problems involving the sides and angles of right-angled triangles.