15 Determine the value of x, such that
2 cosec? 30° + x sin60°
3
tan? 30° = 10
4
Answers
Answered by
0
15 Determine the value of x, such that
2 cosec? 30° + x sin60°
3
tan 30° = 10
4
Answered by
26
Step-by-step explanation:
The value of x is 3.
Step-by-step explanation:
Given,
2cosec^2 30^{\circ}+x sin^2 60^{\circ} - \frac{3}{4} tan^2 30^{\circ}=102cosec
2
30
∘
+xsin
2
60
∘
−
4
3
tan
2
30
∘
=10
2 (2)^2 + x ( \frac{\sqrt{3}}{2})^2 - \frac{3}{4}\times (\frac{1}{\sqrt{3}})^2 = 102(2)
2
+x(
2
3
)
2
−
4
3
×(
3
1
)
2
=10
8 + \frac{3x}{4}-\frac{3}{12}=108+
4
3x
−
12
3
=10
\frac{3x}{4}=10+\frac{1}{4}-8
4
3x
=10+
4
1
−8
\frac{3x}{4}=\frac{40+1-32}{4}
4
3x
=
4
40+1−32
\frac{3x}{4}=\frac{9}{4}
4
3x
=
4
9
\implies x = \frac{36}{12}= 3⟹x=
12
36
=3
Thus, the value of x is 3.
i hope it's helpful to u ❤...
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