Question

Find the value of : (sin 30° – sin 90° + 2cos 0°) /(tan 30° × tan 60°)

Answer 1

Answer:

2.5

Explanation:

solved in attachment

Answer 2

(sin 30° – sin 90° + 2cos 0°) /(tan 30° × tan 60°)  = 1.5

Explanation:

(sin 30° – sin 90° + 2cos 0°) /(tan 30° × tan 60°)

sin 30° = 1 / 2

sin 90° = 1

cos 0° = 1

tan 30° = √3 / 3

tan 60° = √3

Substituting the values in the equation, we get:

(sin 30° – sin 90° + 2cos 0°) / (tan 30° × tan 60°) = (1/ 2 - 1 + 2 * 1) / (√3/ 3 * √3)

= (1/ 2 - 1 + 2) /  (3/ 3)

= (1/2 + 1) / 1

= 3/2

= 1.5