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Mathematics

2 answers:

Valentin [98]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

Counterclockwise is going left, so if you start at the top, 270 degrees left of a clock will result in the same as 90 degrees clockwise.

Leno4ka [110]3 years ago

4 0

Answer:

Yes it will.

Step-by-step explanation:

Imagine a circle. A full rotation is 360 degrees. So, that means you're going to be 90 degrees froma full rotation. That means that if you back track 90 degrees you're going to get to the same spot as when you go clockwise 270 degrees. The best way to think of it is having the hands of a clock start at 12.

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If cos x=8/17, and 270° < x < 360° what is cos(2x)?

svp [43]

Answer: $\bold{-\dfrac{161}{289}}$

Step-by-step explanation:

Given: cos x = $\dfrac{8}{17}$ , x is in Quadrant 4

Use Pythagorean Theorem to find sin x:

8² + y² = 17²

y² = 17² - 8²

y² = 289 - 64

y² = 225

y = 15

→ sin x = $-\dfrac{15}{17}$

Use the double angle formula to find cos (2x):

$cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}$