Math, asked by sweetyvasu, 1 year ago

cosx=root99\10
find the value of log sinx+logcosx+logtanx


rishimhaske: is it root 99 / 10 or root 99/root 10
sweetyvasu: root99\10
raoatchut191: can u write it in words

Answers

Answered by rishimhaske
7
we know
logA+logB+logC=logABC
logSin+logCos+logTan=log  sin cos tan
but
tan=sin/cos
so
log sin cos tan=logsin cos (sin cos)
log sin cos tan=sin²
by identity,
sin²=1-cos²
so
log sin cos tan=log1-(√99/10)²
log sin cos tan=log1/100
so answer is
log1/100


raoatchut191: sorry sir but logsinxcosxtanx=logsin^2x
raoatchut191: dear sir can u plss check both once
Answered by raoatchut191
4
log sinx+logcosx+logtanx
=logsinx*cosx*tanx
=logsinx*cosx*(six/cosx)
=logsin^2x
=log(1-cos^2x)
=log(1-99/100)
=log(1/100)

raoatchut191: oh the root is only for 99 right sir
raoatchut191: is it right sir
rishimhaske: dont say me sir.... iam student.....bro
rishimhaske: yes
raoatchut191: ohhhhhhhhhhhhh
raoatchut191: is it right
rishimhaske: yes
raoatchut191: wr is log in ur answr then
rishimhaske: i have edited it,.....sory
raoatchut191: kk
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