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salantis [7]
3 years ago
13

Find the limit. lim θ→0 cos(8θ) − 1 / sin(3θ)

Mathematics
1 answer:
nignag [31]3 years ago
8 0
"The limit does not exist!" - Cady Haren (Mean girls)
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Please help me with this question!
Alina [70]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

∠1 = 180° - (72 + 57)° = 180° - 129° = 51°

The right angle at the left vertex is composed of 72° and ∠2, thus

∠2 = 90° - 72° = 18°

57° and ∠3 form a straight angle and are supplementary, thus

∠3 = 180° - 57° = 123°

∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle

∠4 = 180° - (18 + 123)° = 180° - 141° = 39°

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In the graph, z is a complex number represented as a vector from the origin. What is the product of z and its conjugate?
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