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catgirl17

  • 3 years ago

evaluate the expression without using a calculator. sin 30 cos 60 + sin 60 cos 30

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  1. franciscanmonk
    • 3 years ago
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    sin 30 cos 60 + sin 60 cos 30 Sin 30 = 1/2 cos 60 = 1/2 sin 60 = sqrt(3)/2 cos 30 = sqrt(3)/2 ((1/2)(1/2)) + (sqrt(3)/2)^2 (1/4)+ (sqrt(3)/2)^2

  2. catgirl17
    • 3 years ago
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    so would that be the answer?

  3. hartnn
    • 3 years ago
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    instead u can use sinA cos B +cos A sinB = sin (A+B) so your expression is sin (30+60) = sin 90 = 1

  4. catgirl17
    • 3 years ago
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    @franciscanmonk is that my answer?

  5. Chlorophyll
    • 3 years ago
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    @catgirl17 Learn the formula! @franciscanmonk it's great review for you :)

  6. franciscanmonk
    • 3 years ago
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    haha. yeah i thought there was a way to simplify that. and i couldnt get a hold of it.

  7. hartnn
    • 3 years ago
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    did u get that formula ? @catgirl17 and yes final answer is 1.

  8. catgirl17
    • 3 years ago
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    yes

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