Question

4tan^2theta= 3sec^2theta

Answer 1

4 tan²¢ = 3sec²¢

4tan²¢ = 3 ( 1+ tan²¢ )

4tan²¢ - 3tan²¢ = 3

tan²¢ = 3

tan¢ = √3

tan¢ = tan60°

¢ = 60 °

Mr. perfect Rajuraj ;-)

Answer 2

Hiiii. .....friend

The answer is here,

Let the theta be x. for my convience.

$= > \: 4 {tan}^{2} x = 3 {sec}^{2} x$

$= > \: 4 {tan}^{2} x - 3 {sec}^{2} x = 0$

$= > \: {tan}^{2}x + 3 {tan}^{2} x - 3 {sec}^{2} x =$

$= > \: {tan}^{2} x + 3( {tan}^{2}x - {sec}^{2}x) = 0$

$= > \: {tan}^{2} x + 3( - 1) = 0$

$= > \: {tan}^{2} x = 3$

$= > \: tanx = \sqrt{3}$

$= > \: x = 60$

:-)Hope it helps u.