Ch.10 Trigonometric identities & equations Flashcards
1
Q
how would you prove the exact trig values for 30° and 60° ?
A
consider an equilateral triangle of ABC with the side being 2 units
then split it in half and find the missing side
lastly use SOH CAH TOA
2
Q
how would you prove the exact trig values for 45° ?
A
consider an isosceles right angled triangle PQR with 2 sides being 1
therfore the hypotenuse is square root of 2
lastly solve for SOH CAH TOA
3
Q
what are the 2 trig identities?
A
tanθ ≡ sinθ ÷ cosθ
and
sin²θ + cos²θ ≡ 1
4
Q
how would you prove the 2 trig identities?
A
consider a right angled triangle with hypotenuse of 1 and sides of y and x
solve for SOH CAH TOA for the first identity
use pythag for the second identity