Regents Exam Questions A2.a.76: Angle Sum And Difference Identities 4 Worksheet With Answers Page 2
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5ID: A
A2.A.76: Angle Sum and Difference Identities 4: Apply the angle sum and difference formulas
for trigonometric functions
Answer Section
1 ANS:
56
65
If sin A 5
and A is a positive acute angle, cos A 12
. If cos B 4
and B is a positive acute angle, sin B 3
.
13
13
5
5
REF: 060312b
2 ANS:
63
65
If sin x 12
and x is an acute angle, cos x 5
. If cos y 3
and y is an acute angle, sin y 4
.
13
13
5
5
.
REF: 080316b
3 ANS:
63
65
REF: 018620siii
4 ANS:
33
65
REF: 069020siii
5 ANS:
33
65
REF: 089432siii
6 ANS:
33
65
Ê
ˆ
Ê
ˆ
Ê
ˆ
Ê
ˆ
Á Á Á
˜ ˜ ˜
Á Á Á
˜ ˜ ˜
Á Á Á
˜ ˜ ˜
Á Á Á
˜ ˜ ˜
5
˜ ˜ ˜ 3
12
˜ ˜ ˜ 4
˜ ˜ ˜ 15
48
33
cos(A B)
˜ ˜ ˜
Á Á Á
Á Á Á
Á Á Á
Á Á Á
13
5
13
5
65
65
65
Ë
¯
Ë
¯
Ë
¯
Ë
¯
REF: 011214a2
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