Question

3# Find the missing variable (s). Round to the nearest tenth.

Answer 1

Answer:

Step-by-step explanation:

This triangle is already positioned to match trig functions (also known as circular functions).

Point A is origin, side AC (length x) is on X axis,

side CB (length y) is parallel to Y axis.

***** You just remember *****

cos is horizontal, on X axis,

sin is vertical, on Y axis.

To get from unit triangle with hypotenuse 1,

horizontal side cos(θ), vertical side sin(θ), you multiply all sides by same number, namely, the specified length of the hypotenuse.

***** that's all you need to know *****

Draw a unit circle centered at A, mark point Y at intersection of circle and AB, and drop a vertical line from Y crossing X axis at X.

Then radial segment AY is 1, AB is 10

horizontal segment AX is cos(32°), AC is 10AX

vertical segment XY is sin(32°), CB is 10XY.

So x = 10 cos(32°), y= 10 sin(32°).