Question

value of cos300- sin330 is ​

Answer 1

Answer : 1

Explanation :

We know that cos (360° - x) = cos (-x) = cos x

and sin (360°- x ) = sin(-x) = -sin x

so , using these We get

cos 300° = cos ( 360° - 60°) = cos 60°

sin 330° = sin (360° - 30° ) = - sin 30°

so, cos 300° - sin 330° = cos 60° - (- sin 30°)

= cos 60° + sin 30° = 1/2 + 1/2 = 1

Answer 2

Answer :

• cos 300° - sin 330° = 1

Step-by-step explanation :

We know that in 4th quadrant,

• cos (360°- θ) = cos θ
• sin (360°- θ) = - sin θ

=> cos 300° - sin 330°

=> cos (360°-60°) - sin (360°-30°)

=> cos 60° - (- sin 30°)

=> cos 60° + sin 30°

Put cos 60° = 1/2 and sin 30° = 1/2

=> 1/2 + 1/2

=> 1

So the final answer is 1.

More :-

• All the trigonometric functions are positive in 1st quadrant.

• sin A and cosec A are positive in 1st as well as 2nd quadrant.

• cos A and sec A are positive in 1st as well as 4th quadrant.

• tan A and cot A are positive in 1st as well as 3rd quadrant.