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ycow [4]
3 years ago
15

Please help me solve this

Mathematics
1 answer:
MArishka [77]3 years ago
7 0

9514 1404 393

Answer:

  sin(θ) ≈ -0.92

  cos(θ) ≈ 0.38

  tan(θ) = -2.40

Step-by-step explanation:

Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...

  r² = (5)² + (-12)²

  r² = 169

  r = √169 = 13

The trig relations for a point on the terminal ray are ...

  (x, y) = (r·cos(θ), r·sin(θ))

Then ...

  sin(θ) = y/r = -12/13 ≈ -0.92

  cos(θ) = x/r = 5/13 ≈ 0.38

  tan(θ) = y/x = -12/5 = -2.40

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Andrei [34K]

Answer:

\frac{1+5i}{2}

Step-by-step explanation:

We know i×i=i^2 which has value of -1.

We will multiply numerator and denominator by i so the denominator will no longer contain imaginary part(s).

Also multiplying by i/i does not change the value of the fraction because i/i=1.

Numerator × i gives (-5+i)i=-5i+i^2=-5i-1

=-1-5i.

Denominator × i gives (2i)i=2i^2=-2.

So the simplified version of this fraction given is:

\frac{-1-5i}{-2}=\frac{1+5i}{2}

The last simplification come from me multiplying fraction by -1/-1.

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jek_recluse [69]

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

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-4 and -5
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