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forsale [732]
2 years ago
9

24) sin x = 1/3 Find cos x.

Mathematics
2 answers:
Maru [420]2 years ago
8 0

Answer:

cos(x) =\±2\frac{\sqrt{2}}{3}

Step-by-step explanation:

We know that sen(x) =\frac{1}{3}

Remember the following trigonometric identities

cos ^ 2(x) = 1-sin ^ 2(x)

Use this identity to find the value of cosx.

If sen(x) =\frac{1}{3} then:

cos ^ 2(x) = 1-(\frac{1}{3})^2

cos ^ 2(x) =\frac{8}{9}

cos(x) =\±\sqrt{\frac{8}{9}}

cos(x) =\±2\frac{\sqrt{2}}{3}

liq [111]2 years ago
6 0

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

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