Question

Sin 24 +sin 55- sin 125 + sin 204 -sin 330

Answer 1

Answer:

1/2

Explanation:

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we know the relations between

angles:

*sin(90°-A) = cosA

*sin(180°+A) = -sinA

*sin(360°-A) = -sinA

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We can write ,

i) sin55 = sin(90°-35°)=cos35°

ii)sin204° = sin(180°+35°)

= -sin35°

iii) sin330° = sin(360°-30°)

= -sin30°

Now,

Value of

Value ofSin 24 +sin 55- sin 125 + sin 204 -sin 330

= sin24°+sin(90°-35°)-sin(90°+35°)+sin(180°+24°)-sin(360°-30°)

= sin24°+cos35°-cos35°-sin24°-(-sin30°)

= sin30°

= 1/2

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