2 - chapter 8 - further trig

Question 1

asinx + bcos x

Answer 1

Rsin(x+y) = (Rcosy) sinx + (Rsiny)cosx
Rcos y = a
Rsiny = b
tan y = b/a
so can find y
R^2 = a^2+b^2
so can find R
so asinx + bcosx = Rsin(x+y)

Question 2

sec x

Answer 2

1/cos x

Question 3

cosec x

Answer 3

1/sinx

Question 4

cot x

Answer 4

1/tan x

Question 5

sec and tan identity

Answer 5

1 + tan^2 = sec^2

Question 6

cosec and cot identity

Answer 6

1 + cot^2 = cosec^2