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Express the trigonometric ratios sinA, secA …

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Express the trigonometric ratios sinA, secA and tanA in terms of cotA
  • 2 answers

Omkar Meher 5 years, 1 month ago

Right answer

Yogita Ingle 5 years, 1 month ago

[ i ] sinA in terms of cotA :

sinA = 1 / cosecA

We know that: cosec²A = 1 + cot²A

sinA = 1 / √1 + cot²A

[ ii ] secA in terms of cotA :

We know that: 1 + tan²A = sec²A

secA = 1 + tan²A

secA = 1 + 1 / cot²A

secA = √(cot²A + 1 ) /cotA

[ iii ] tanA in terms of cotA :

tanA = 1 / cotA

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