Question

answer this question with explanation​

Answer 1

Answer:

(b). $-\frac{35}{8}$

Step-by-step explanation:

sin³60° cot 30° - 2sec²45° + 3cos 60° tan 45° - tan² 60°

1). sin³60° = (sin 60° )³ = ( $\frac{\sqrt{3} }{2}$ )³ = $\frac{3\sqrt{3} }{8}$

cot 30° = √3

sin³60° cot 30° = $\frac{9}{8}$

2). 2sec²45° = 2( √2 )² = 4

3). cos 60° = $\frac{1}{2}$

tan 45° = 1

3cos 60° tan 45° = $\frac{3}{2}$

4). tan² 60° = ( √3 )² = 3

sin³60° cot 30° - 2sec²45° + 3cos 60° tan 45° - tan² 60° =

$\frac{9}{8}$ - 4 + $\frac{3}{2}$ - 3 = $\frac{21}{8}$ - $\frac{56}{8}$ = $-\frac{35}{8}$