Question

If √3 tan = 1 , find the value of sin 3A + Cos2A​

Answer 1

Step-by-step explanation:

Given: √3 tanA = 1

To find: If √3 tan A = 1 , find the value of sin 3A + cos2A

Solution:

Tip: Find value of angle A from √3 tan A= 1

Step 1: Find the value of A

$tan \: A = \frac{1}{ \sqrt{3} } \\ \\ tan \: A = tan \: 30° \\ \\ A= 30°$

Step 2:Put the value of A in sin 3A + cos2A

$= > sin(3 \times 30°) + \cos(2 \times 30°) \\ \\ = > \sin(90°) + \cos(60°) \\ \\ = > 1 + \frac{1}{2} \\ \\ = > \frac{3}{2} \\ \\ sin3A + cos2A = \frac{3}{2}$

Final answer:

sin 3A + Cos2A=3/2

Hope it helps you.

To learn more on brainly:

If the zeroes of the polynomial ax2+bx+b=0 are in the ratio m:n, then find the value of root m/ root n + root n/root m.

https://brainly.in/question/41169627