Question

.

















If 7sin²∅ + 3cos²∅ = 4

Then prove tan∅ = 1/√3

Answer 1

Hey There! ☺

Nice Question! ♥

======================================
Answer : Refer Attached Image
======================================

Hope it helped! ☺

Answer 2

Hi ,

Here I used letter ' A ' for angle .

7sin²A + 3cos² A = 4

7 sin²A + 3 ( 1 - sin² A ) = 4

7sin² A + 3 - 3 sin² A = 4

4sin² A = 1

Sin² A = 1/4

SinA = √1/4

SinA = 1/2

SinA = sin 30°

A = 30°

Therefore ,

Tan A = tan 30°

= 1/√3

I hope this helps you.

: )