Evaluate the following :tan60° . cosec245° + sec260°.tan45°

Q4 of 268 Page 4

Evaluate the following :
tan60° . cosec²45° + sec²60°.tan45°

We know that

tan (60^o) = √3

cosec (45^o) = √2

sec (60 ^o) = 2

tan(45^o) = 1

Now putting the values;

= (√3) × (√2)² + (2)² × (1)

= 2 +4

=2 (√3 + 2)

Evaluate the following :

cosec²30°.tan²45° – sec²60°

Evaluate the following :

2sin²30°.tan60° – 3cos²60°.sec²30°

Evaluate the following :

tan30°.sec45° + tan60°.sin30°

Evaluate the following :

cos30°.cos45° – sin30°.sin45°