Question

9.4 (sin⁴60 + Cos ⁴30)-3 (tan²60-tan²45) +5 cos²45​

Answer 1

Answer:

-19 / 8

Step-by-step explanation:

( sin⁴60 + cos⁴30 ) - 3 ( tan²60 - tan²45 ) + 5 cos²45

= {( √3 / 2 )⁴ + ( √3 / 2 )⁴} - 3 {( √3 )² - ( 1 )²} + 5 ( 1 / √2 )²

= ( 9 / 16 + 9 / 16 ) - 3 ( 3 - 1 ) + 5 × ½

= ( 9 + 9 / 16 ) - 3 × 2 + 5 / 2

= 18 / 16 - 6 + 5 / 2

= 9 / 8 - 6 + 5 / 2

= 9 - 48 + 20 / 8

= -19 / 8

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