Evaluate: 2cos^2 60 + 3 sin^2 45 - 3sin^2 30 + 2 cos^2 90
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Answered by
55
Answer :
Now,
2 cos²60° + 3 sin²45° - 3 sin²30° + 2 cos²90°
= 2 ( ½ )² + 3 ( 1/√2 )² - 3 ( ½ )² + 2 ( 0 )²
= 2 ( ¼ ) + 3 ( ½ ) - 3 ( ¼ ) + 0
= ½ + 3/2 - 3/4
= ( 2 + 6 - 3 ) / 4
= 5/4
#MarkAsBrainliest
Now,
2 cos²60° + 3 sin²45° - 3 sin²30° + 2 cos²90°
= 2 ( ½ )² + 3 ( 1/√2 )² - 3 ( ½ )² + 2 ( 0 )²
= 2 ( ¼ ) + 3 ( ½ ) - 3 ( ¼ ) + 0
= ½ + 3/2 - 3/4
= ( 2 + 6 - 3 ) / 4
= 5/4
#MarkAsBrainliest
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11
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