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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The Circle

 

New Topic: The Circle

By the end of this topic you will:

• know that the equation of the circle centre (a,b) and radius r is (x – a)² + (y – b)² = r²

• know that x² + y² + 2gx + 2fy + c = 0 represents a circle centre (–g, –f) and
radius r = √(g² + f² – c), provided g² + f² – c > 0

• be able to determine the equation of a circle

• be able to solve problems with the intersection of a line and a circle,
and a tangent to a circle

• be able to determine whether two circles touch each other

 

Homework: Circles Set2

Due: Monday 7th December

ALL pupils should be able to complete Q1 – 4

MOST pupils should be able to complete Q7

SOME pupils should be able to complete Q6

DO NOT DO Q5

 

Circles Set2 Solutions

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Translating Functions

Desmos Calculator Activity

Explore the effects of changing the vales of a, b, c and d individually.

Discuss and agree the translations:

y = f(x + a)

y = f(x) + b

y = cf(x)

y = f(dx)

 

Click the graph below to start the activity:

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Wave Function

 

New Topic: Wave Function

 

Homework: Wave Function Set1

Due: Thursday 12th February

 

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Higher Prelim Revision

Higher Prelim 2007-08

Higher Prelim 2008-09

Higher Prelim 2009-10

Higher Prelim 2010-11

Higher Prelim 2011-12

Higher Prelim 2012-13

Higher Prelim 2013-14

Higher Prelim Revision Booklet

The Circle

New Topic: The Circle, MiA Unit 2 Ch4

By the end of this topic you will:

• know that the equation of the circle centre (a,b) and radius r is (x – a)² + (y – b)² = r²

• know that x² + y² + 2gx + 2fy + c = 0 represents a circle centre (–g, –f) and
radius r = √(g² + f² – c), provided g² + f² – c > 0

• be able to determine the equation of a circle

• be able to solve problems with the intersection of a line and a circle,
and a tangent to a circle

• be able to determine whether two circles touch each other

Homework: Circles Set1

Due: Tuesday 13th January

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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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