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

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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

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3
Q

what are the 2 trig identities?

A

tanθ ≡ sinθ ÷ cosθ

and

sin²θ + cos²θ ≡ 1

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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

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