if x²-2x+sin²a=0 then
Answers
Answer:
Given :
2 x tan²60° + 3 x sin²30° = ( 27 cos²45° ) / 4 sin²60° )
In the attachment , I have given the trigonometric table .
From there we have :
tan 60° = √3
sin 30° = 1/2
cos 45° = 1 /√2
sin 60° = √3 / 2
Hence we can write the above equation as :
2 x ( √3 )² + 3 x ( 1/2 )² = ( 27 × ( 1/√2 )² ) / ( 4 × ( √3/2 )² )
⇒ 2 x × 3 + 3 x × 1/4 = ( 27/2 / 3 )
⇒ 6 x + 3 x /4 = 9/2
⇒ 2 x + x/4 = 3/2
⇒ x ( 2 + 1/4 ) = 3/2
⇒ x ( 8 + 1 )/4 = 3/2
⇒ x × 9/4 = 3/2
⇒ x = 3/2 × 4/9
⇒ x = 2/3
The value of x is 2/3
↪ sin A = x , then sin²A is x² . sin²A is spelled as sin squared A .
↪ The ratios sin , cos , cot , tan , sec and cosec are all positive in the first quadrant .
↪ Thereby the ratios of acute angles are positive .
↪ It means that ratios of trigonometry involving 0° - 90° are always positive .
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Step-by-step explanation:
