Question

tan²60° + 4 cos² 45° +3 cosec² 60° + 2 cos² 90°
_______________________________________________
2 cosec30° +3 sec 60° - 7/3 cot² 30°​

Answer 1

Question →

1 ) Value of - tan²60° +4cos²45° +3cosec²60° + 2 cos²90°

2 ) Value of 2 cosec30° + 3sec 60° - 7/ 3cot²30°

1) Answer →

We know that value of

tan 60° = √3

cos 45° = 1/√2

Cosec 60° 2/√3

Cos 90° = 0 .

Putting these values in the question -

${( \sqrt{3)} }^{2} + 4( { \frac{1}{ \sqrt{2} }) }^{2} + 3( { \frac{2}{ \sqrt{3} } )}^{2} + 2 {(0)}^{2}$

3 + 2 + 2

→ 6

2) Answer →

We know that value of -

Cosec 30° = 2

sec 60° = 2

cot 30° = √3

Putting these values in question -

2 (2) +3(2) -7/3(√3)²

4 + 6 -7

→ 3