3 years ago

Please answer this correctly

Mathematics

1 answer:

Klio2033 [76]3 years ago

6 0

Answer:

x =1

Step-by-step explanation:

Assuming the figures are similar, we can use ratios to solve

x 2

---- = -----

4 8

Using cross products

8x = 2*4

8x = 8

Divide by 8

8x/8 = 8/8

x=1

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Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.

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$\cos( \theta) = \frac{5}{8} \\ {8}^{2} = {5}^{2} + {opp}^{2} \\ {opp}^{2} = 64 - 25 = 39 \\ opp = \sqrt{39} \\ \sin(\theta) = \frac{\sqrt{39}}{8} \\ \tan(\theta) = \frac{ \sqrt{39} }{5} \\ \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{1}{\frac{ \sqrt{39} }{5}} \\ \cot(\theta) = \frac{5}{ \sqrt{39} } \\ \csc( \theta) = \frac{1}{\sin(\theta)} = \frac{1}{\frac{\sqrt{39}}{8}} \\ \csc( \theta) = \frac{8}{ \sqrt{39} } \\ \sec( \theta) = \frac{1}{\cos( \theta) } = \frac{1}{ \frac{5}{8} } \\ \sec( \theta) = \frac{8}{5}$