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bogdanovich [222]
3 years ago
10

Please simplify, 50 points.

Mathematics
2 answers:
olga55 [171]3 years ago
4 0

Answer:

The trigonometric equation  (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:Using x for Θ: (sinx - cosx)^2 - (sinx + cosx)^2 = (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) = - 2 sinx cosx - 2 sinx cosx = - 4 sinx cosx = - 2sin(2x)

Step-by-step explanation:

Lady_Fox [76]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Expand (sinΘ + cosΘ)²

= sinΘ - cosΘ - (sin²Θ + 2 sinΘcosΘ + cos²Θ)

= sinΘ - cosΘ - sin²Θ - 2sinΘcosΘ - cos²Θ

= sinΘ - cosΘ - 2sinΘcosΘ - (sin²Θ + cos²Θ)

= - 2sinΘcosΘ - cosΘ + sinΘ - 1 → D

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A 150-N bird feeder is supported by three cables. Find the tension in each cable.
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X axis : -t1 cos 60 + t2 cos 60 = 0
 
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Y axis : t1 sin 60  + t2 sin 60 - 150 = 0

since t2 = t1

2t1 sin 60 =  150

t1 ( sqrt(3)/2)  = 150/2

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3 years ago
Please help........................
VashaNatasha [74]

Answer:

<h2>m∠ABD = 20°</h2>

Step-by-step explanation:

If m∠ABC = 40° and BD is the bisector of ∠ABC, then

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