Question

3tanc=4 then cosA, tanA and cotA​

Answer 1

Given:

3tanA =4

Therefore,

tanA = 4/3..........(1)

To Find:

1) cosA=?

2) tan A=?

3) cotA=?

Solution:

Here, tan A=4/3.......(From (1))

Now, cotA= 1/tanA

cotA=1/4/3

cotA=3/4

1+tan²A=cot²A.....(Identity)

By substituting the values,

1+(4/3) ²=cos²A

1+16/9=cos²A

cos²A=9/16/9

cos²A=25/9

cosA=5/3

Therefore,

(1) cosA=5/3

(2) tanA=4/3

(3) cotA= 3/4