If (cosa-sina)/sina = 2 , then what is tga = ?

To find the value of tga, we can use trigonometric identities and solve the equation.

Given: (cosa-sina)/sina = 2

To simplify the equation, we can multiply both sides by sina:
cosa - sina = 2sina

Now, let's express the left-hand side in terms of tana, and the right-hand side in terms of sina and cosa.

Using the trigonometric identity: tana = sina/cosa, we can rewrite the left-hand side as:
sina * tana - sina = 2sina

Factoring out sina from the left-hand side:
sina * (tana - 1) = 2sina

Canceling out sina from both sides, we get:
tana - 1 = 2

Now, adding 1 to both sides, we have:
tana = 3

Therefore, the value of tga is 3.

cosa - sina = 2sina

cosa = 3sina
sina/cosa = 1/3

tan a = 1/3