Use the pythagorean identity sin^2 θ + cos^2 θ = 1 to derive the other pythagorean identities, 1 + tan^2 θ = sec^2 θ and 1 + cot^2 θ = csc^2 θ. discuss how to remember these identities and other fundamental identities.

Find the greatest common factor of -30x 4 yz 3 and 75x 4 z 2.

According to the 2008 u.s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of california was approximately two times the population of florida. b. the population of florida was approximately twenty times the population of california. c. the population of florida was approximately two times the population of california. d. the population of california was approximately twenty times the population of florida.

Which pair of numbers is relatively prime? a. 105 and 128 b. 130 and 273 c. 205 and 350 d. 273 and 333