Question

1. Evaluate and choose option. sin 600°cos 30° + sin 30° cos 600​°
(a) 1 , (b) -1 , (c) 1/2, (d) non of these
​

Answer 1

AnswEr :

sin600°cos30° + sin30°cos600° = 0

Given :

sin600°cos30° + sin30°cos600°

Explanation :

Given expression is of the form sin(A+ B)

sin(A + B) = sinAcosB + cosAsinB

Thus,

sin600°cos30° + sin30°cos600°

= sin(600 + 30)

= sin(630)

= sin[2 × 360 - 90]

(360 - ∅) lies in fourth quadrant where sine function is negative

= - sin(90)

= - 1

Option (B) is correct

Answer 2

Step-by-step explanation:

$\bf \huge\: Question\:\:$

• 1. Evaluate and choose option. sin 600°cos 30° + sin 30° cos 600°(a) 1 , (b) -1 , (c) 1/2, (d) non of these

______________________________

$\bf \huge\: To\:Find \:$

• Evaluate and choose option.

______________________________

$\bf \huge\: </strong><strong>Given</strong><strong>\:</strong><strong> \:$

sin600°cos30° + sin30°cos600°

We Get similarly:-

= sin(600 + 30)

$\bf\: On\: Adding$

= sin(630)

$\bf\: We \: know\: (360 - ∅)$

$\bf\:= sin[2 × 360 - 90]$

$\bf\:= - sin(90)$

We know :-

Sin∅ = Sin90°

Sin∅ = 1

Then putting the value

$\bf\red{= - 1}$

Option (B) is correct