tan35tan40tan45tan50tan55
Answers
Answered by
13
We know, tan A= cot(90-A)
So, tan 35= cot (90-35)=cot 55
and, tan 40= cot(90-40)= cot 50
So now,
tan35tan40tan45tan50tan55
=cot55cot50tan45tan50tan55
=tan45 (since cot is the reciprocal of tan A*cot A=1)
= 1 (value of tan 45 is 1)
So answer is 1.
So, tan 35= cot (90-35)=cot 55
and, tan 40= cot(90-40)= cot 50
So now,
tan35tan40tan45tan50tan55
=cot55cot50tan45tan50tan55
=tan45 (since cot is the reciprocal of tan A*cot A=1)
= 1 (value of tan 45 is 1)
So answer is 1.
yashikachirec:
thanks sukanya for the answer
Similar questions