5.1 (Fundamental Identities)

Question 1

What does reciprocal identity state?

Answer 1

sin β= 1/csc β, cos = 1/sec β, tan β= 1/cot β, & vice versa

Question 2

What (two things) does quotient identity state?

Answer 2

tan β= sin β/cos β & cot β= cos β/sin β

Question 3

What (three things) does pythagorean identity state?

Answer 3

1+tan^2 β= sec^2 β, 1+cot^2 β= csc^2 β, cos^2 β+ sin^2 β=1

Question 4

What does cofunction identity state?

Answer 4

sinβ = cos(π/2 - β), cscβ = sec(π/2 - β), tanβ = cot(π/2 - β), & vice versa

Question 5

What (two things) does even identity state?

Answer 5

cos(-β) = cosβ & sec(-β) = sec β

Question 6

What (four things) does odd identity state?

Answer 6

sin(-β) = -sinβ, csc(-β) = -cscβ, tan(-β) = -tanβ, & cot(-β) = -cotβ,