SOLUTION: 1.If you are given an acute angle and the measurement of the adjacent side of that angle, what trigonometric function could you readily use to find the length of the hypotenuse o

Algebra ->  Trigonometry-basics -> SOLUTION: 1.If you are given an acute angle and the measurement of the adjacent side of that angle, what trigonometric function could you readily use to find the length of the hypotenuse o      Log On


   

Question 878308: 1.If you are given an acute angle and the measurement of the adjacent
side of that angle, what trigonometric function could you readily use
to find the length of the hypotenuse of the right triangle?
a. sine
b. cosine
c. tangent
d. cosecant
2. If you are given an angle and the measurement of the hypotenuse of
a right triangle, what trigonometric function could you readily use to
find the length of the opposite side to that angle?
a. sine
b. cosine
c. tangent
d. cosecant



Found 2 solutions by ewatrrr, Theo:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
1) cos A = adj/hyp
2) sin A = opp/hyp

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
1.If you are given an acute angle and the measurement of the adjacent
side of that angle, what trigonometric function could you readily use
to find the length of the hypotenuse of the right triangle?
a. sine
b. cosine
c. tangent
d. cosecant

you would use the cosine function.
if you let x = the angle, then:
cosine (x) = adjacent side / hypotenuse
multiply both sides of this equation by the hypotenuse and you will get:
cosine (x) * hypotenuse = adjacent side.
divide both sides of this equation by cosine (x) and you will get:
hypotenuse = adjacent side / cosine (x)
since you are given the angle of x and the length of the adjacent side, you can solve for the length of the hypotenuse using this formula.

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2. If you are given an angle and the measurement of the hypotenuse of
a right triangle, what trigonometric function could you readily use to
find the length of the opposite side to that angle?
a. sine
b. cosine
c. tangent
d. cosecant

you would use the sine function.
if you let x represent the angle, then the formula for sine of x becomes:
sine (x) = opposite side divided by hypotenuse
multiply both sides of this equation by the hypotenuse and you get:
hypotenuse * sine(x) = opposite side.
this is the same as:
opposite side = hypotenuse * sine (x)
since you are given the length of the hypotenuse and the angle of x, you can solve for the length of the opposite side using this formula.