smc-1075-20-Rcos

Trigonometry, EXT1 T3 2024 HSC 10 MC

For real numbers and , where and , we can find numbers , , , and such that can be written in the following 4 forms:

where and .

What is the value of ?

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♦♦♦ Mean mark 19%.

Trigonometry, EXT1 T3 2004 HSC 2d

Write in the form $α$ , where and $α π$ . (2 marks)

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Hence, or otherwise, solve the equation for $π$ .

Give your answers correct to three decimal places. (2 marks)

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i. $α$

$α α$
$α α$

$α$

$α$
$α$

ii.

Trigonometry, EXT1 T3 2015 HSC 11d

Express in the form $α$ , where $α$ . (2 marks)

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	$α$
	$α α$

$α α$

$α$
$α$
$α$

Trigonometry, EXT1 T3 2014 HSC 2 MC

Which expression is equal to ?

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Trigonometry, EXT1 T3 2013 HSC 12a

Write in the form , where . (1 mark)

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Hence, or otherwise, solve , where . (2 marks)

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ii.

Trigonometry, EXT1 T3 2010 HSC 4b

Express in the form ,

where and . (3 marks)

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Hence, or otherwise, solve ,
for . (2 marks)

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i.

♦ Mean mark part (ii) 49%
MARKER’S COMMENT: Many students did not check their answers against the stated domain for

ii.