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Annette [7]
3 years ago
8

How would you solve cos(5x)=sin(10x) ?

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0
We will use double angle identities:
cos (5x ) = sin (10x )   
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0                    or :       1 - 2 sin (5 x) = 0
5 x = π/2 +kπ,  k∈Z                        sin (5 x) = 1/2
x1 = π/10 + kπ/5                           5 x = π/6+2kπ    , k∈ Z
                                                       5 x = 5π/6 +2kπ , k∈ Z
                                                       x 2 = π/30 +2kπ/5
                                                       x 3 = π/9  + 2kπ/5
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Answer:

Step-by-step explanation:

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A. The number of cars sold doubles every year. It is a 200% growth every year.

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3 years ago
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lora16 [44]

Let's find a.

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Let's find b.

By looking at the graph, we can tell that the angle "b" and the angle that measures 163° is the same. Thus, b = 163°.

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Using what we did for a, we can solve for c using what we got for b. We can make an equation and solve.

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Let's find d.

Using the angle that measures 70°, we can solve it like we did with a and c.

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Step-by-step explanation:

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dsp73

Answer:

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