Question

Find the value of sin50°-sin70° + sin 10°. with complete answer
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Answer 1

GIVEN

Find the value of sin50°-sin70° + sin 10°. with complete answer

ANSWER

Given, sin 50 - sin 70 + sin 10

= sin(60 - 10) - sin(60+10) + sin 10

Formula is Sin(a-b) = sin a cos b- cos a sinb, Sin(a+b) = sin a cos b + cos a sinb

= Sin(60) Cos(10) - Cos(60)Sin(10) - (Sin(60)Cos(10) + Cos(60)Sin(10)) + Sin(10)

=  -2*Cos(60) Sin(10) + Sin(10)  

=  -2*(1/2) * Sin(10) + Sin(10)

= 0

HENCE THE 0 IS THE ANSWER