Solve the following: 1)tan35°+tan10°+tan35°x tan10°=?

1 Answer
May 3, 2018

See the answer below...

Explanation:

Formula:-

#color(red)(ul(bar(|color(green)(tan("A"+"B")=(tan"A"+tan"B")/(1-tan"A" cdot tan"B"))|#

#tan45^@=tan(35^@+10^@)=(tan35^@+tan10^@)/(1-tan35^@ cdot tan10^@)#

Even, we know, #color(red)(tan45^@=1#

#(tan35^@+tan10^@)/(1-tan35^@ cdot tan10^@)=1#

#=>(tan35^@+tan10^@)=(1-tan35^@ cdot tan10^@)#

#=>(tan35^@+tan10^@+tan35^@ cdot tan10^@)=1#

Hope it helps...

Thank you...

:-)