Question

If root 3 tan theta is equal to 3 sin theta then sin square -cos square =?

Answer 1

√3 tantheta = 3 sin thetha
√3 sinthetha /costhetha = 3sintheta
√3 sinthEta/ 3sinthetha = costheta
1/√3 = costheta

cos square theta= 1/3

sin squaretheta +cos squaretheta =1
sin squaretheta = 1-1/3 = 2/3

sin square theta - cos square theta
2/3 - 1/3
1/3


I'm not sure but ....once inform me. ........

Answer 2

Answer: 1/3

Step-by-step explanation:

✓3 tanθ = 3 sinθ

✓3 sinθ/cosθ = 3 sinθ

✓3 will cut 3 and sin theta wil be cancelled

1/cosθ = ✓3

cosθ = 1/✓3

Squaring on both sides :

cos²θ = 1/3 eq (1)

1-sin²θ = 1/3

sin²θ = 1 - 1/3

sin²θ = 2/3 eq (2)

Now,

Subtracting eq (1) from (2)

sin²θ - cos²θ = (2/3)² - (1/3)²

= 4/9 - 1/9

= 3/9

= 1/3