IB Mathematics SL & HL
trig functions, equations & identities - 1
answers on next page
4 questions ̶ progressing from ‘accessible’ to ‘discriminating’
1.
Find all exact values of θ that solve the equation 2sin 2 θ  3sin θ  2
where θ is in the interval 0  θ  2π .
2.
Solve the equation cos 2 x  cos x  0 for 0  x  2π . Express any
solutions exactly.
3.
Given that tan   2, 0   
cos 2 and tan 2 .
4.
[ no calculator ]
[ calculator allowed ]
π
find the exact values of sin 2 ,
2
[ no calculator ]
1
1
1
, tan B  and tan C  , find
8
2
5
tan  A  B  , tan  A  B  C  and the value of A  B  C .
Given that tan A 
[ no calculator ]
© InThinking – IB Maths HL & SL
1
IB Mathematics SL & HL
trig functions, equations & identities - 1
Answers
π
5π
or x 
6
6
1.
x
2.
x  0, x 
3.
4
3
4
sin 2  , cos 2   , tan 2  
5
5
3
4.
tan  A  B  
2π
4π
or x 
3
3
2
π
, tan  A  B  C   1, A  B  C 
3
4
© InThinking – IB Maths HL & SL
2