Question

sin 13° cos 17° + sin 77° cos 73° = ..
(a) 1/2
(b) 73/
(c) 1/2
(d) -sin 4°​

Answer 1

Answer:

d is your answer

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Answer 2

Answer:

$(a) \: \frac{1}{2}$

Step-by-step explanation:

$\sin(13) \cos(17) + \sin( 77) \cos(73)$

$= \sin(13) \cos(17) + \cos(90 - 77) \sin(90 - 73)$

[∵ sinθ = cos(90–θ)

& cosθ = sin (90–θ) ]

$= \sin(13) \cos(17) + \cos(13) \sin(17)$

$= \sin(13 + 17)$

[∵ sin(A + B) = sinA·cosB + cosA·sinB ]

$= \sin(30)$

$= \frac{1}{2}$

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