If 3 cot A = 4, check whether or not

Question

Philoid · Accepted Answer

It is given that 3cot A = 4

Or, cot A =

Consider a right triangle ABC, right-angled at point B

Cot A =

=

If AB is 4k, then BC will be 3k, where k is a positive integer

In ΔABC,

(AC)² = (AB)² + (BC)²

= (4k)² + (3k)²

= 16k² + 9k²

= 25k²

AC = 5k

Cos A =

=

Sin A =

=

Tan A =

=

1 – tan²A/1 + tan²A =

=

= =

Cos²A – Sin²A = ² – ²

=

Therefore,

1 – tan²A/1 + tan²A = Cos²A – Sin²A

If 3 cot A = 4, check whetheror not