Find the value of
sin 30°xcos²30°+cos 60° x sin square 60°
3 tan²30° + tan square
60
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Answer:
20
Step-by-step explanation:
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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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