The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).
Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).
If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.
In summary,
- length of short leg = 1 unit
- length of long leg = 5 units
- length of hypotenuse = √26 units
Let x be the length of the leg on the x axis (short leg). Let
y be the length of the other leg (long leg).
Let r be the length of the hypotenuse.
x = -1
y = 5
r = √26
Now we can calculate the trigonometric identity:
sin θ = y/r
cos θ = x/r
tan θ = y/x
cot θ = x/y
seconds θ = r/x
csc θ = r/y
Learn more about Pythagorean theorem brainly.com/question/343682
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