Trigonometry

Question 1

Reciprocal trigonometric functions

Answer 1

1 / sin(x) = cosec(x)
1 / cos(x) = sec(x)
1 / tan(x) = cot(x)

Question 2

Compound angle formula

Answer 2

Given in formula sheet

Note:
sin( 45º + 60º) ≠ sin(45º) + sin(60º)

Question 3

Double angle formula

Answer 3

Given in formula sheet

Note:
sin(2A) ≠ 2sin(A)

Question 4

Values of R and a

For the form: a sin(x) + b cos(x)

Answer 4

2sin(x) - 3sin(x) = Rsin(x - a)
= Rsin(x)cos(a) - Rcos(x)sin(a)

Use pythagoras to solve for R and a

Put in specified form

Question 5

Answers out of range

Answer 5

draw graph and figure out where answers lie
cos = 360 - answer
tan = 180 + answer
sin = 180 - answer or 360 + answer