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kobusy [5.1K]
3 years ago
10

If sin theta= 2/3 and tan theta<0, what is the value of cos theta

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0
Cos
θ
=
√
5
3

or it could be cos
θ
=
√
5
−
3

Explanation:
Since sin
θ
is negative, it can be in the third or fourth quadrant
Drawing your right-angled triangle, place your
θ
in one of three corners. Your longest side will be 3 and the side opposite the
θ
will be -2. Finally, using Pythagoras theorem, your last side should be
√
5

Now, if your triangle was in the third quadrant, you would have
cos
θ
=
√
5
−
3
since cosine is negative in the third quadrant
But if your triangle was in the fourth quadrant, you would have
cos
θ
=
√
5
3
since cosine is positive in the fourth quadrant
PilotLPTM [1.2K]3 years ago
6 0

Answer: - sqrt 5 / 3

Step-by-step explanation:

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PLEASE HELP HURRY ITS URGENT
Dimas [21]

Answer:

58/15

Step-by-step explanation:

1/6 a^2 + 9/10 b

Let a = -4 and b = 4/3

1/6 ( -4)^2 + 9/10 ( 4/3)

PEMDAS says powers first

1/6 (16) + 9/10 ( 4/3)

Then multiply

16/6 + 6/5

Simplify

8/3 + 6/5

Get a common denominator

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7 0
3 years ago
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3 years ago
Can Somebody Solve This Equation ?
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Lets take an example of a flat sheet of metal. Imagine a flat sheet of metal. Now make it infinitely large in both directions. This means that no matter how far you go, you never reach its edges. Now imagine that it is so thin that it actually has no thickness at all. In spite of this, it remains completely rigid and flat. This is the 'plane' in geometry.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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