tan inverse cos x/1-sin x write in simplest form?
What's wrong with your picture?
ans will be \[\pi/4 + x/2\]
do you mean \[\frac{\tan(\cos^{-1}x)}{1-\sin x}\]?
hoe to get there/
after tan inverse i+tanx\2 /1- tan x\2 wt is the next step/
s to lifesaver
I meant... did you ask to simplify the expression I wrote down?
s sir
step for solving 1- conver cosx into cos^x/2- sin^2x/2 and 1- sinx = sin^2x/2 + Cos^2x/2 - 2sinx/2cosx/2
can u say step by step plz
Let x = cos y. Then \[\sqrt{1-x^2}=\sqrt{1-\cos^2y}=\sqrt{\sin^2y}=\sin y\] Hence \[\tan(\cos^{-1}x)=\tan y=\frac{\sin y}{\cos y}=\frac{\sqrt{1-x^2}}{x}\] and therefore \[\frac{\tan(\cos^{-1}x)}{1-\sin x}=\frac{\sqrt{1-x^2}}{x(1-\sin x)}\] I think this doesn't simplify further.
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sir i don't have a mob
does this ans satissfies my above question?
yes this is the only ans for ur question.... π/4+x/2
how this both links sir?
step for solving 1- conver cosx into cos^x/2- sin^2x/2 and 1- sinx = sin^2x/2 + Cos^2x/2 - 2sinx/2cosx/2 after this just factorize Nr and Dr and then ...it becomes tan(pi/4+x) so tan inverse cancil out tan and ans will be π/4+x/2
if i dont disturb u can u wright it in steps i can't read it plz
hey r u fed up with me/
ok u will send me sir i got to go for bath.
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