Question

If 3 tan θ = 4, find the value of .

Answer 1

Given:

Therefore,

…… (1)

Now, we know that

Therefore equation (1) becomes

…… (2)

Now, by applying Invertendo to equation (2)

We get,

…… (3)

Now, multiplying by 4 on both sides

We get,

Therefore

Now by applying dividendo in above equation

We get,

…… (4)

Now, multiplying by 2 on both sides of equation (3)

We get,

Therefore

Now by applying componendo in above equation

We get,

…… (5)

Now, by dividing equation (4) by equation (5)

We get,

Therefore,

Therefore, on L.H.S cancels and we get,

Therefore,

Hence,