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2 years ago

Write as a single term: sin(25°) cos(10°) − cos(25°) sin(10°).

Mathematics

1 answer:

eduard2 years ago

3 0

Answer: cos (25° + 10°)

Step-by-step explanation: The expression:

sin(25°) cos(10°) − cos(25°) sin(10°)

is associated to the expression for the cosine of the sum of two angles that is:

cos (α+β) = sinα *cosβ -cosα*sinβ

Hence if we do α = 25° and β = 10°

by subtitution we get:

cos (25° + 10°) = sin(25°) cos(10°) − cos(25°) sin(10°)

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[ Answer ]

$\boxed{\bold{X \ = \ 0, \ Y \ = \ 10}}$

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System Of Equations $\bold{\left \{ {X \ + \ Y \ = \ 10} \atop {Y \ + \ X \ = \ 10}} \right.}$

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$\boxed{\bold{[] \ Eclipsed \ []}}$

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