beast8465 beast8465

07-05-2021
Mathematics

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Write the given expression as the sine of an angle
sin(105°) cos(35°) + sin(35°) cos(105°)
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jimrgrant1 jimrgrant1

07-05-2021

Answer:

sin140°

Step-by-step explanation:

Using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

Given

sin105°cos35° + sin35°cos105°

= sin105°cos35° + cos105°sin35° ← right side of expansion above

= sin(105 + 35)°

= sin140°

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