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Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

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Page 1: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 2: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

Sine

Cos

Tan

Page 3: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 4: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 5: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 6: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 7: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 8: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 9: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 10: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 11: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

Summary:

Page 12: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

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Page 13: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

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Page 14: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

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Page 15: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

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Page 16: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

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Page 17: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

Textbook Practice Questions – p.456 (Standard book)

Page 18: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 19: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties
Page 20: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

Solve the equation sinӨ=0.7

Use the symmetric property:

sin(180-Ө) = sin Ө(finds one more solution)

Then use the periodic property:

sin(Ө±360) = sin Ө(finds the other solutions in the period)

Page 21: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties

Solve the equation sinӨ=0.7

Use the symmetric property:

sin(180-Ө) = sin Ө(finds one more solution)

Then use the periodic property:

sin(Ө±360) = sin Ө(finds the other solutions in the period)

Page 22: Sine - misswelton.weebly.com · Trigonometry L.O. all pupils can describe the trigonometric properties all pupils can manipulate the sine and cosine graphs to prove further properties