Question

Evaluate tan square 60 plus 4 cos square 45 plus 3 cosec square 60 plus 2 cos square 90 upon 2 cosec 30 plus 3 sec 60 minus 7 upon 3 cot square 30

Answer 1

Step-by-step explanation:

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question:

tan²60° + 4cos²45° + 3cosec²60° + 2cos²90°/2cosec30° + 3sec60°-7/3cot²30°

solution:

we know that,

tan60°=√3=> tan²60°=3

cos45°=1/√2=> cos²45° = 1/2

cosec60°=2/√3=> cosec²30°=4/3

cos²90°=0 , thus no need to calculate the value of cosec30°......everything will reduce to 0

sec60°=2

cot²30°=3

substituting values we get,

3+1/2+4+0+6-7/9

7+1/2-7/9

7+0.5-0.7777

=7.12

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