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Temka [501]
3 years ago
9

An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0
Draw a right triangle ABC, with m(CAB)=∅.

Let CB=7 units, AC=8 units, so by the Pythagorean theorem:

AB= \sqrt{ AC^{2} - BC^{2} }= \sqrt{ 8^{2} - 7^{2} }=  \sqrt{64-49} = \sqrt{15} (units)

so we have drawn a triangle where sin∅=7/8

in this triangle, cot∅=(adjacent side)/(opposite side)=\frac{ \sqrt{15} }{7}

Answer: <span>square root of fifteen divided by seven</span>

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Keywords: rhombus, area

Learn more about areas at:

  • brainly.com/question/4770892
  • brainly.com/question/4693527

#LearnwithBrainly

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