Question

If cos A = 2/3 ,then tan A =.......

​

Answer 1

Answer:

√5/2

Step-by-step explanation:

cos a = 2/3

sin a = √(1 - cos^2 a)

       = √1-(2/3)^2

= √1-4/9

=√5/3

Tan a = sina/cosa

so,

√5/3 x 3/2

= √5/2

Answer 2

Given: cosA=2/3

To find: We have to find the value of tanA.

Solution:

To determine the value of tanA we have to follow the below steps as follows-

We know that-

secA=1/cosA

Thus putting the value of cosA we get-

secA=3/2

Again we know that-

$sec^2A-tan^2A=1$

Putting the value of secA we get-

${ \frac{3}{2} }^{2} - tan^2A = 1 \\ \frac{9}{4} - tan^2A = 1 \\ \frac{9}{4} - 1 = tan^2A \\ \frac{5}{4} = tan^2A \\ tanA = \frac{ \sqrt{5} }{2}$

The result is √5/2.

The value of tanA us √5/2.