The figure below shows a right triangle:
a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.
what is p ÷ r equal to?
tan x°
tan y°
sin y°
cos x°

(a)tanx

step-by-step explanation:

it is given that there is a right triangle with hypotenuse equal to q units and the length of the legs equal to p units and r units.  

we know that , and then, from the given figure, we have

p is the perpendicular and r is the base of the given triangle, then

thus, option a is correct.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.