Let A ,B,C, be the three angles such...

Let A ,B,C, be the three angles such that A+B+C `=pi` .If `tanA*tanB=2` .Then find the value of `(cosAcosB)/(cosC)`.

Verified by Experts

The correct Answer is:

`=1`

Similar Questions

Explore conceptually related problems

Let A (6,- 1) B (1,3) and C(x,8) be three points such that AB = BC. The values of x are

Let A,B and C be the sets such that A cup B = A cup C and A cap B = A cap C . Show that B = C.

If A ,B and C are the angles of non-right angle triangle ABC, then find the value of |(tanA,1,1),(1,tanB,1),(1,1,tanC)|

If tanA+tanB=a and cotA+cotB=b prove that cotA cotB= b/a

If A+B+C=pi . Then prove that cosA=-cos(B+C)

If A+B=pi/4 show that (1+tanA)(1+tanB)=2