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Mathematics 7 Online
OpenStudy (anonymous):

simplify the expression:- tanx+sinxsecx/cscxtanx

OpenStudy (anonymous):

@Hero

OpenStudy (anonymous):

help

OpenStudy (anonymous):

rewrite everything in terms of sine an cosine then do a little algebra

OpenStudy (anonymous):

\[\frac{b}{a}+\frac{b\times \frac{1}{a}}{\frac{1}{b}\times \frac{a}{b}}\] where \(a=\cos(x)\) and \(b=\sin(x)\)

OpenStudy (anonymous):

no actually it would be \[\frac{b}{a}+\frac{b\times \frac{1}{a}}{\frac{1}{b}\times \frac{b}{a}}\]

OpenStudy (anonymous):

k let me try nd tell u if i have any questions

OpenStudy (anonymous):

i still don't get it

OpenStudy (anonymous):

\[\frac{b}{a}+\frac{b\times \frac{1}{a}}{\frac{1}{b}\times \frac{b}{a}}\] \[=\frac{b}{a}+\frac{\frac{b}{a}}{\frac{1}{a}}\] \[=\frac{b}{a}+\frac{b}{a}\times \frac{a}{1}\] \[=\frac{b}{a}+b\]

OpenStudy (anonymous):

so you get \[\tan(x)+\sin(x)\]

OpenStudy (anonymous):

can u write this in sec,cos that form plz

OpenStudy (anonymous):

that just obscures the algbra i use \(a=\cos(x), b = \sin(x)\) that is what you need to do, write in terms of sine and cosine

OpenStudy (anonymous):

k thank you!

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