Question

2 cosec square 30 degree + x sin square 60 degree - 3/4 tan square 30 degree = 10
then find the value of x

Answer 1

Hello

your answer is

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SOLUTION

2cosec²30° + x sin²60° – 3/4 tan²30° = 10

—› (2×2²) + (x ×√3/2²) – (3/4 × 1/√3²) = 10

—› (2×4) + (x × 3/4) – ( 3/4 × 1/3) = 10

—› 8 + 3/4x – (9+4)/12 =10

—› 3/4x = 10 – 8 + 13/12

—› 3/4x = 2 + 13/12

—› 3/4x = (26 + 13)/12

—› 3/4x = 39/12

—› x = 39/12 ÷ 3/4

—› x= 39/12 × 4/3

—› x = 13/3

So, The value of x is 13/3

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Thanks☺️✌️

Answer 2

Answer:

Step-by-step explanation:

2(cosec²30)+x(sin²60)-3/4tan²30=10

2*2*2+x*√3/2*√3/2-3/4*1/√3*1/√3=10

8+3x/4-3/4*1/3=10

3x/4-3/12=10-8

3x/4-1/4=2

3x/4=2+1/4

3x/4=9/4

x=4*9/3*4

x=3 ans