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CBSE Class 10 Answered

question
Asked by arindeep.singh | 20 Aug, 2020, 06:58: PM
Expert Answer
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
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