Answer:

Explanation:
30°-60°-90° triangle has corresponding sides of: b - b√3 - 2b
sec²
= sec² 60°
sec² 60° =
=
=
=

=
45°-45°-90° triangle has corresponding sides of: a - a - a√2
sin²
= sin² 45°
=

=
=

=
sec²
+ sin²

=
+

=
+

=
=

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(-12, 5)
- the x-coordinate is the adjacent side = -12
- the y-coordinate is the opposite side = 5
- Use Pythagorean Theorem to find the hypotenuse = 13
(-12)² + (5)² = (hypotenuse)²
144 + 25 = (hypotenuse)²
169 = (hypotenuse)²
13 = hypotenuse
sin θ =
=

cos θ =
=

tan θ =
=

csc θ =
=

sec θ =
=

cot θ =
=
