Question

evaluate~. 5cos²60°+4sec²30°-tan²45°+5sin²60°​

Answer 1

Answer:

The value of given trigonometrical expression is 9.3315

Step-by-step explanation:

Given as :

The trigonometrical expression is

5 cos²60° + 4 sec²30° - tan²45° + 5 sin²60°

Now, we know that

cos 60° = 0.5

sec 30° = 1.1547

tan 45° = 1

sin 60° = 0.866

Put the value of these trigonometrical value in the given expression

So, 5 × (0.5)² + 4 × (1.1547)² - (1)² + 5 × (0.866)²

Or, 5 × 0.25 + 4 × 1.333 - 1 + 5 × 0.7499

Or, 1.25 + 5.332 - 1 + 3.7495

Or, 10.3315 - 1

Or, 9.3315

So, The value of given trigonometrical expression = 9.3315

Hence, The value of given trigonometrical expression is 9.3315  Answer