In quadrant I, drawn a right triangle with one leg on the x-axis and its hypotenuse on the terminal side of drawn in standard position. If sin = 7/25, then what is the value of theta θ?

facas9

facas9

Answered question

2020-11-07

In quadrant I, drawn a right triangle with one leg on the x-axis and its hypotenuse on the terminal side of drawn in standard position. If sin=725, then what is the value of θ?

Answer & Explanation

Malena

Malena

Skilled2020-11-08Added 83 answers

Let opp = 7 and hyp = 25.
Solve for adj (adjacent side) (Pythagorean Theorem):
opp2+adj2=hyp2
72+adj=252
49+adj2=625
adj2=576
adj=24
tan theta is positive:
tanθ=oppadj=724

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