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jok3333 [9.3K]
3 years ago
6

Fill in the blank. If necessary, use the slash mark ( / ) for a fraction bar.

Mathematics
2 answers:
kipiarov [429]3 years ago
8 0

Answer:

cos Ф = adj / hyp could be either 4/5 or -4/5.

Step-by-step explanation:

If sin Ф = 3/5, then we can assume that the opposite side is 3 and the hypotenuse is 5.  Using the Pythagorean Theorem, we find that the adjacent side is 4:  

√(5² - 3²) = √16 = ±4.

cos Ф = adj / hyp could be either 4/5 or -4/5.

iris [78.8K]3 years ago
6 0

Answer:

\frac{4}{5}

Step-by-step explanation:

Given,

sin \theta = \frac{3}{5}

\because sin \theta =\frac{\text{Opposite side of }\theta}{\text{Hypotenuse }}

By comparing,

Opposite side of \theta = 3

Hypotenuse = 5,

By pythagoras theorem,

Adjacent side of \theta = \sqrt{5^2 - 3^2}=\sqrt{25-9}=\sqrt{16}=4

Now,

cos \theta =\frac{\text{Adjacent side of }\theta}{\text{Hypotenuse }}

\implies cos \theta=\frac{4}{5}

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