If sinx=1/5 and x terminates in the first quadrant, determine cos 2x.

Hey there! I'm happy to help!

Let's think of this angle being put inside of a unit circle (a circle with a radius of one). This angle is going to stay inside the first quadrant, so all of its trigonometric ratios will be positive.

We are given that the sin of x is 1/5. To get the x by itself, we can just find the inverse sine of both sides to isolate the x.

x=sin(1/5)

x≈ 11.536959

2x≈ 23.073918

Now, we just cosine this value.

cos2x≈ 0.92

I hope that this helps! Have a wonderful day!

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e