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babymother [125]
2 years ago
9

Can someone give me the steps to solving this?

Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

Answer:

\tan \theta  = \dfrac{8}{15}

Step by step explanation:

\text{Given that,}\\\\~~~~~~~\sin \theta = \dfrac{8}{17}\\\\\implies \sin^2 \theta = \dfrac{64}{289}\\\\\implies 1-\cos^2 \theta = \dfrac{64}{289}\\\\\implies \cos^2 \theta = 1-\dfrac{64}{289}\\\\\implies \cos^2 \theta = \dfrac{225}{289}\\\\\implies \cos \theta =\pm\sqrt{\dfrac{225}{289}}\\\\\implies \cos \theta = \pm\dfrac{15}{17}

\text{In quadrant I, all ratios are positive, so,}~ \cos \theta = \dfrac{15}{17}\\\\\text{Now,}\\\\\tan \theta  = \dfrac{\sin \theta }{\cos \theta}\\\\\\~~~~~~~~=\dfrac{\tfrac{8}{17}}{\tfrac{15}{17}}\\\\\\~~~~~~~~=\dfrac{8}{17} \times \dfrac{17}{15}\\\\\\~~~~~~~=\dfrac{8}{15}

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Papessa [141]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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7 0
3 years ago
Last summer there were 88 players at coach rodriguez basketball camp. this year there are 125% of this number of players. how ma
ludmilkaskok [199]
To determine the number of those who joined the basketball camp this year, we just have to multiply the number of those who joined last year by the decimal equivalent of the percentage given. That is,
                                   x = 88(1.25)
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Therefore, there are a total of 110 players for this years basketball camp. 
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Jobisdone [24]
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