Show that
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Show that
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Use the identity
coscos cos sin sin
to show that
cos cos2 sin2
Show by counter-example that
cos cos cos
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Prove the identity
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Show that
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Show that
sin sin sin
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Prove the identity
cosec cot cosec2
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Use the identity
sincos sin sin cos
to show that
sin
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Given the identity
sin2 cos2
prove the following identities:
sec2 tan2
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cos cos4 cos2
sin sin4 sin2
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Prove the identity
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Show that
sin
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Show that
sin sin sin sin3
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Prove the identity
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Show that
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Given the identity
coscos cos sin sin
prove the following identities:
cos cos2 sin2
cos sin2
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sin sin sin3
cos cos cos3
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Show that
cos cos sin4 sin2
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Prove that
cot2 tan2 cot cosec .
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Prove the identity
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Prove the identity
cosec
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Show that
tan
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Consider the three triangles, all of height 1, as shown below.
By applying the area of a triangle formula to each one, prove that,
sinsin cos sin cos
Briefly explain why this only proves the result for and being acute angles.
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Prove the identity
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Prove the identity
cot cosec3 sec4 cosec4
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Show that
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Show that
sin sin cos2 sin3
Hence, or otherwise, show that
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Show that
cos2 sin2 sin
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Show that
tansec tan
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Show that
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