Question

Evaluate each of the following cosec³ 30° cos 60° tan³ 45° sin² 90° sec² 45° cot 30°

Answer 1

SOLUTION:

Given :  

cosec³ 30° cos 60° tan³ 45° sin² 90° sec² 45° cot 30°                          

= 2³ × (1/2) × (1)³ × (1)² × (√2)² × (√3)

[cosec 30° = 2 , cos 60° = 1/2 ,tan 45°= 1, sin 90° = 1 , cot 30° = √3, sec 45°= √2]

= 8 × (1/2) ×(1) × (1) × (2) × √3

= (8/2) ×( 2√3) = 8√3  

cosec³ 30° cos 60° tan³ 45° sin² 90° sec² 45° cot 30° = 8√3

Hence,  cosec³ 30° cos 60° tan³ 45° sin² 90° sec² 45° cot 30° = 8√3

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

To evaluate :-

cosec³ 30° cos 60° tan³ 45° sin² 90° sec² 45° cot 30°


Salutation :-

cosec³ 30° cos 60° tan³ 45° sin² 90° sec² 45° cot 30°

= ( 2 )³ × ( 1 / 2 ) × ( 1 )³ × ( 1 )² × ( √2 )² × ( √3 )

= 8 × 1 / 2 × 1 × 1 × 2 × √3

= 8 × √3

= 8√3

______________________________

Since ,

cosec30° = 2

cos60° = 1 / 2

tan45° = 1

sin90° = 1

sec45° = √2

cot30° = √3


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