Question

Evaluate cos570° sin510°-sin330°cos390°

Answer 1

Answer:

Answer is 0.

Step-by-step explanation:

Given,

cos570° sin510° - sin330° cos390°

= cos(360+210)sin(360+150)-sin(360-30)

cos(360+30)

= cos210 sin150 - (-sin30) cos30

= cos(270-60) sin(180-30) + sin30 cos30

= (-sin60)(sin30) + sin30 cos30

= (-√3/2)(½) + (½)(√3/2)

= (-√¾) + (√¾)

= (-√3)+ √3/4

= 0/4

= 0

cos570° sin510° - sin330° cos390° = 0.

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