Trigonometric Functions of Acute Angles

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sec2Ѳ - tan2Ѳ = cosec2Ѳ - cot2Ѳ

sec2Ѳ - cosec2Ѳ = tan2Ѳ - cot2Ѳ

Example: Prove that

Sol: Given that

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Values of the trigonometrical ratios

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Example: find the value of tan450.sec300 - cot900.cosec450

Sol: Given that tan450.sec300 -- cot900.cosec450

= 1 . -- 0. =

Example: If cosѲ = 3/5, find the value of the other ratios

Ѳ

5

4

3

Sol: Given that cosѲ = 3/5 = adj / hyp

thus using reference triangle adj = 3, hyp = 5,by Pythagorean principle opp = 4

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