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CBSE Class 10 Answered

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Asked by arindeep.singh | 20 Aug, 2020, 06:58: PM
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Q: To express cos A, tan A and sec A in terms of sinA.
Answer: 
As we know that sin2A+cos2A=1
rightwards double arrow cos squared straight A equals 1 minus sin squared straight A space rightwards double arrow cosA equals square root of 1 minus sin squared straight A end root space... space left parenthesis straight i right parenthesis tanA equals sinA over cosA equals fraction numerator sinA over denominator square root of 1 minus sin squared straight A end root end fraction space... space From space left parenthesis straight i right parenthesis rightwards double arrow tanA equals fraction numerator sinA over denominator square root of 1 minus sin squared straight A end root end fraction space... space left parenthesis ii right parenthesis secA equals 1 over cosA equals fraction numerator 1 over denominator square root of 1 minus sin squared straight A end root end fraction space... space From space left parenthesis straight i right parenthesis rightwards double arrow secA equals fraction numerator 1 over denominator square root of 1 minus sin squared straight A end root end fraction
Answered by Renu Varma | 21 Aug, 2020, 12:31: PM

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