Download Worksheet 6.2

Maths Quest Maths B Year 11 for Queensland
WorkSHEET 6.2
Chapter 6 Trigonometric equations WorkSHEET 6.2
1
Trigonometric equations
Name: ___________________________
1
2
(a)
State the Pythagorean identity.
(b)
Write the Pythagorean identity with sin2x
as the subject.
(c)
Write the Pythagorean identity with cos2x
as the subject.
If sin  = 0.7, and 0o <  < 90o, find, correct to
three decimal places:
(a) cos 
(b)
3
4
3
4
tan 
Find all possible values of sin x if cos x = 0.25.
3
2
and x
5
3
Find the exact value of sin x if cos x =
is in the fourth quadrant.
5
Find ao if 0o <  < 90o and
(a) sin ao = cos 67o
(b)
6
2
cos ao = sin 8o
If 0o  a  90o and sin ao =
value of :
(a) cos ao
(b)
tan ao
(c)
sin (90 – a)o
(d)
cos (180 + a)o
1
, find the exact
3
4
Maths Quest Maths B Year 11 for Queensland
Chapter 6 Trigonometric equations WorkSHEET 6.2
2
7
Solve the equation 2 sin2x = sin x over the
domain 0  x  2  .
4
8
Solve the equation 2cos2x +
the domain 0  x  2  .
4
9
Solve 2 sin2x = 3 sin x  1 in the domain
0  x  2 .
4
10
Solve 2sin2x = 2 
0  x  2 .
4
3 cos x = 0 for
3 cos x in the domain