Question

step by step explanation plsssss​

Answer 1

Answer:

$\huge x = 3$

Step-by-step explanation:

Given :

$2\ cosec^{2} 30 ^\circ + x\ sin^260^\circ - \frac{3}{4}\ tan^2 30^ \circ = 10$

To find :

The value of x

Values required for answer :

cosec 30° = 2

sin 60° = √3/2

tan 30 = 1/√3

Solution :

$2\ cosec^{2} 30 ^\circ + x\ sin^260^\circ - \frac{3}{4}\ tan^2 30^ \circ = 10$

$\implies 2 (2)^2 + x\ (\frac{3}{4}) - \frac{3}{4}\times \frac{1}{3} = 10\\\\\implies 8 + \frac{3x}{4} - \frac{1}{4} = 10\\\\\implies \frac{3x - 1}{4} = 2 \\\\\implies 3x - 1 = 8\\\implies 3x = 9\\\implies x = 3\\\\\textsf {Hence the value of \boxed {x = 3}}$

Hope it helps

Please mark as brainliest