- Explain why the equation
, where , has exactly one solution. (1 marks)
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- Solve
. (2 marks)
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Trigonometry, EXT1 T2 2021 HSC 13d
- The numbers
, and are related by the equations and , where is a constant. - Show that
. (2 marks)
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- Hence, or otherwise, solve
for . (2 marks)
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Trigonometry, EXT1 T3 2020 HSC 14b
- Show that
. (2 marks)
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- By letting
in the cubic equation .
Show that
. (2 marks)
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- Prove that
. (3 marks)
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Trigonometry, EXT1 T3 EQ-Bank 1
- Show that
. (2 marks)
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- Hence or otherwise, find all values of
that satisfy
. (2 marks)
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Trigonometry, EXT1 T3 EQ-Bank 3
Find all values of
Trigonometry, EXT1 T3 SM-Bank 2
Show that
Trigonometry, EXT1 T3 SM-Bank 13
Find all solutions of
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Trigonometry, EXT1 T3 SM-Bank 12
Solve
Trigonometry, EXT1 T3 SM-Bank 10
Given that
Trigonometry, EXT1 T3 SM-Bank 8
Solve for
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Trigonometry, EXT1 T3 2009 HSC 3c
- Prove that
provided that . (2 marks)
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- Hence find the exact value of
. (1 mark)
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