Given that cos 57° = 0.545, enter the sine of a complementary angle. sin h

Mathematics

1 answer:

noname [10]3 years ago

4 0

Answer:

sin 33° = 0.545

Step-by-step explanation:

complementary angle to 57° is 33°

sin 33° = 0.545

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Which statement best describes a chord of a circle?

Ugo [173]

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3 years ago

Find the exact value of cos theta, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.

vova2212 [387]

Answer:

$cos \theta = -\frac{8}{17}$

Step-by-step explanation:

For this case we know that:

$sin \theta = \frac{15}{17}$

And we want to find the value for $cos \theta$ , so then we can use the following basic identity:

$cos^2 \theta + sin^2 \theta =1$

And if we solve for $cos \theta$ we got:

$cos^2 \theta = 1- sin^2 \theta$

$cos \theta =\pm \sqrt{1-sin^2 \theta}$

And if we replace the value given we got:

$cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}$

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

$cos \theta = -\frac{8}{17}$

5 0

3 years ago

SOS WHAT IS THE SQUARE ROOT OF 144/256?

tangare [24]

The square root is $\sqrt{\frac{144}{256}} = \frac{3}{4}$ Just square the top and bottom of the fraction. $\sqrt{144} = 12$ and $\sqrt{256} = 16$ so we have 12/16 and then we reduce to 3/4