Eapurfartfar (Trigonometry)12018 (A)]

1.	Eapurfartfar (Trigonometry)12018 (A)]
Answer» 3 tanθ = 3 sinθ✓3 sinθ/cosθ = 3 sinθ ✓3 will cut 3 and sin theta wil be cancelled 1/cosθ = ✓3cosθ = 1/✓3 Squaring on both sides : cos²θ = 1/3. ...... equation (1) 1-sin²θ = 1/3sin²θ = 1 - 1/3sin²θ = 2/3. ....... equation (2) Now, Subtracting equation (1) from (2)... sin²θ - cos²θ = (2/3)² - (1/3)²= 4/9 - 1/9= 3/9= 1/3 ..... Answer please like the solution 👍 ✔️

Answer»

3 tanθ = 3 sinθ✓3 sinθ/cosθ = 3 sinθ

✓3 will cut 3 and sin theta wil be cancelled

1/cosθ = ✓3cosθ = 1/✓3

Squaring on both sides :

cos²θ = 1/3. ...... equation (1)

1-sin²θ = 1/3sin²θ = 1 - 1/3sin²θ = 2/3. ....... equation (2)

Now, Subtracting equation (1) from (2)...

sin²θ - cos²θ = (2/3)² - (1/3)²= 4/9 - 1/9= 3/9= 1/3 ..... Answer

please like the solution 👍 ✔️

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