Trigonometry & Applications Flashcards
7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Trigonometry & Applications flashcards as text
Which identity is a Pythagorean identity?
Answer: sin²θ + cos²θ = 1
sin²θ + cos²θ = 1 is the fundamental Pythagorean identity.
Simplify sin θ / cos θ.
Answer: tan θ
By definition tan θ = sin θ / cos θ.
What is the reciprocal of sin θ?
Answer: csc θ
Cosecant is defined as 1/sin θ.
If sin θ = 0.6, what is cos²θ?
Answer: 0.64
cos²θ = 1 − sin²θ = 1 − 0.36 = 0.64.
The identity 1 + tan²θ equals:
Answer: sec²θ
Dividing sin²θ + cos²θ = 1 by cos²θ gives 1 + tan²θ = sec²θ.
What does sin(2θ) equal by the double-angle formula?
Answer: 2 sin θ cos θ
The double-angle formula gives sin 2θ = 2 sin θ cos θ.
A Ferris wheel's height follows h(t) = 25 sin(t) + 30. What is the maximum height?
Answer: 55
Sine peaks at 1, so maximum height = 25(1) + 30 = 55.