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CBSE Class 11-science Answered

If secx+tanx=4 ,find the value of sinx ,cosx, secx and tanx?
Asked by hemanttkumarr | 31 Jan, 2018, 09:30: AM
answered-by-expert Expert Answer
begin mathsize 16px style tanx plus secx equals 4
sinx over cosx plus 1 over cosx equals 4
fraction numerator 1 plus sinx over denominator cosx end fraction equals 4
1 plus sinx equals 4 cosx
Squaring space on space both space sides comma
left parenthesis 1 plus sinx right parenthesis squared equals cos squared straight x
1 plus 2 sinx plus sin squared straight x equals 1 minus sin squared straight x
Solving space it space taking space sinx equals straight y
you space get space straight y equals negative 1 comma space 15 over 17
sinx equals negative 1 space rightwards double arrow straight x equals 90 degree rightwards double arrow cos 90 degree equals 0
Hence comma space sinx not equal to negative 1
sinx equals 15 over 17
Using space trigonometric space identities space find space cosx space and space then space remaining space ratios. end style
Answered by Sneha shidid | 31 Jan, 2018, 10:00: AM
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