show that tanA ×SinA+cosA=secantA
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Let us take the LHS part ...
TanA×SinA + CosA
=
![\frac{sina \: \times sina}{cosa \: } + cosa \\ = \frac{ {sin}^{2} + cosa \times cosa }{cosa} \\ = \frac{ {sina}^{2} + {cosa}^{2} }{cosa} \\ = \frac{1}{cosa} \\ = seca \frac{sina \: \times sina}{cosa \: } + cosa \\ = \frac{ {sin}^{2} + cosa \times cosa }{cosa} \\ = \frac{ {sina}^{2} + {cosa}^{2} }{cosa} \\ = \frac{1}{cosa} \\ = seca](https://tex.z-dn.net/?f=+%5Cfrac%7Bsina+%5C%3A++%5Ctimes+sina%7D%7Bcosa+%5C%3A+%7D++%2B+cosa+%5C%5C++%3D++%5Cfrac%7B+%7Bsin%7D%5E%7B2%7D+%2B+cosa+%5Ctimes+cosa+%7D%7Bcosa%7D+++%5C%5C+%3D++%5Cfrac%7B+%7Bsina%7D%5E%7B2%7D+%2B++%7Bcosa%7D%5E%7B2%7D++%7D%7Bcosa%7D++%5C%5C++%3D++%5Cfrac%7B1%7D%7Bcosa%7D++%5C%5C++%3D+seca)
Hope it helps...
Regards,
Leukonov.
TanA×SinA + CosA
=
Hope it helps...
Regards,
Leukonov.
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