Question

please tell me the answer with explanation​

Answer 1

Answer:

9

Step-by-step explanation:

Solving the numerator:

⇒ 9sec²θ - 9tan²θ

⇒ 9(sec²θ - tan²θ)

⇒ 9(1)                   [sec²A - tan²A = 1]

⇒ 9

Solving the denominator:

⇒ sin²30° + cos²30°

⇒ (1/2)² + (√3/2)²

⇒ 1/4 + 3/4

⇒ 1

Therefore, the question is:

⇒ 9/1

⇒ 9

Answer 2

$\frac{9sec {}^{2} </p><p>θ \: - \: 9tan {}^{2}</p><p>θ }{sin {}^{2} {30°} + cos {}^{2} 30°} </p><p>$

$=> \: \frac{9(sec {}^{2}</p><p>θ \: - \: tan {}^{2} </p><p>θ) }{( \frac{1}{2} ) {}^{2} + ( \frac{ \sqrt{3} }{2} ) {}^{2} } \\ \\ (sec {}^{2} </p><p>θ \: - \: tan {}^{2} </p><p>θ = 1;sin30° = \frac{1}{2} ; \\ cos30° = \frac{ \sqrt{3} }{2} )$

$= > \frac{9(1)}{ \frac{1}{4} + \frac{3}{4} }$

$= > \frac{9}{ \frac{1 + 3}{4} }$

$= > \frac{9}{ \frac{4}{4} }$

$= > \frac{9}{1}$

$Answer => \: 9$