What is cos fata if sin fata= -8/10 and fata is in Quadrant 3?
1 answer:
Answer:
Step-by-step explanation:
First thing is to remember the sin ratio. It is, by definition, the side opposite over the hypotenuse of the reference angle. In QIII the side opposite the angle is -8 which is one of the legs of a right triangle, and the hypotenuse, which is always positive, is 10. That means that if we are going to find the cosine of the angle, we need the other leg of the triangle. Using Pythagorean's Theorem, we find that
and
and
so
a = 6. But because we are QIII, that value is negative, because x is negative in QIII.
That leg happens to be the side adjacent to the angle. The cosine of the angle is the side adjacent over the hypotenuse. So now that we have the side adjacent as -6, we can say that the cosine of the angle is -6/10.
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Answer:
AB = 10π
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
= 2π × 12 × ← cancel 12 on numerator/ denominator, leaving
AB = 2π × 5 = 10π
See the explanation
<h2>Explanation:</h2>Hello, recall that you need to write complete questions in order to get exact answers. Here we have a missing diagram so I can help you in a general way. A prism is a three dimensional shape that has two identical ends (flat faces
) and the same cross section all along its length. A cube is a special type of prism having six identical square sides. So the volume of a prism given the length of a side as s is:
For example, suppose we have a box formed by unit cubes as indicated in the figure below, so the length of one side of the blue box will be:
So the volume of the blue box is:
Cube: brainly.com/question/12539359
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