Evaluate 2 cosec square thirty degree plus sin square sixty degree minus 3/4 tan square thirty degree
Answers
Answered by
3
Solution :
2cosec² 30° + sin² 60° -( 3/4 )tan² 30°
**************************************
We know that ,
cosec 30° = 2 ,
sin 60° = √3/2 ,
tan 30° = 1/√3
**********************************
= 2 × 2² + ( √3/2 )² - ( 3/4 ) × ( 1/√3 )²
= 8 + 3/4 - ( 3/4 )×(1/3)
= 8 + 3/4 - 1/4
= 8 + ( 3/4 - 1/4 )
= 8 + 2/4
= 8 + 1/2
= ( 16 + 1 )/2
= 17/2
•••••
2cosec² 30° + sin² 60° -( 3/4 )tan² 30°
**************************************
We know that ,
cosec 30° = 2 ,
sin 60° = √3/2 ,
tan 30° = 1/√3
**********************************
= 2 × 2² + ( √3/2 )² - ( 3/4 ) × ( 1/√3 )²
= 8 + 3/4 - ( 3/4 )×(1/3)
= 8 + 3/4 - 1/4
= 8 + ( 3/4 - 1/4 )
= 8 + 2/4
= 8 + 1/2
= ( 16 + 1 )/2
= 17/2
•••••
Similar questions