Question

Evaluate:
4 tan 60 × sec 30/1 + sin 31 × sec 59 + cot 59 × cot 31/8 sin^30 - tan^2 45

Answer 1

Answer:

$\frac{4tan60°sec30°}{1+sin31°sec59°} + \frac{cot59°cot31°}{8sin30°-tan²45} = 4 \frac{1}{3}$

Step-by-step explanation:

sin 31° = cos 90°-31° = cos 59° ⇒ sin 31° x sec 59° = 1

4tan 60° x sec 30° = 4√3 x 2/√3 = 8

cot 59° = tan 90°-59° = tan 31° ⇒ cot 59° x cot 31° = 1

8 sin 30° - tan²45° = 8/2 - 1 = 1/3