Question

2 cos² 90 + 4 cos ² 45 + tan²60+ 3 cosec² 60 +1 / 3 sec 60 - 7/2 sec² 45 + 2cosec 30 -1

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Answer 1

Answer:

8/3

Step-by-step explanation:

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cos 90° = 0

cos 45° = 1/√2

tan 60° = √3

cosec 60° = 2/√3

sec60° = 2

sec 45° = √2

cosec 30° = 2

On putting above values :

2(0)² + 4*(1/√2)² + (√3)² + 3(2/√3)² + (1/3)(2) - (7/2)(√2)² + 2(2)-1

= 0 + 1 + 3 + 2 + (2/3) - 7 + 4 -1

= 2 + (2/3)

= 8/3

Answer 2

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cos 90° = 0

cos 45° = 1/√2

tan 60° = √3

cosec 60° = 2/√3

sec60° = 2

sec 45° = √2

cosec 30° = 2

On putting above values :

2(0)² + 4*(1/√2)² + (√3)² + 3(2/√3)² + (1/3)(2) - (7/2)(√2)² + 2(2)-1

= 0 + 1 + 3 + 2 + (2/3) - 7 + 4 -1

= 2 + (2/3)

= 8/3