Regents Exam Questions A2.a.76: Angle Sum And Difference Identities 4 Worksheet With Answers printable pdf download

Regents Exam Questions A2.a.76: Angle Sum And Difference Identities 4 Worksheet With Answers

Regents Exam Questions A2.A.76: Angle Sum and Difference Identities 4 Name: _______________________

A2.A.76: Angle Sum and Difference Identities 4: Apply the angle sum and difference formulas

for trigonometric functions

1 If A and B are positive acute angles, sin A  5

8 If tan A  8 and tan B  1

, what is the value of

tan(A  B) ?

and cos B  4

, what is the value of sin(A  B) ?

9 If tan A  2

and tan B  1

, what is the value of

2 If sin x  12

, cos y  3

, and x and y are acute

tan(A  B) ?

angles, the value of cos(x  y) is

10 If tan A  2

and sin B 

and angles A and B

3 If sin A  3

, sin B  5

, and angles A and B are

are in Quadrant I, find the value of tan(A  B) .

acute angles, what is the value of cos(A  B) ?

11 If tan A  2

and tan B  3 , express tan(A  B) as a

4 If A and B are both acute angles, sin A  5

and

fraction in simplest form.

sin B  4

, then sin(A  B) is

12 When sin x   8

and x lies in Quadrant III and

5 If cos x  12

and sin y  4

, then sin(x  y) equals

cos y   4

and y lies in Quadrant II, what is

cos(x  y) ?

6 Given angle A in Quadrant I with sin A  12

and

13 Using the formula for cos(x  y) , find the exact

angle B in Quadrant II with cos B   3

, what is the

value of cos 15 in radical form if mx  45 and

my  30 .

value of cos(A  B) ?

14 Express as a single fraction the exact value of

7 If sin A  4

, tan B  5

, and angles A and B are in

sin 75 .

Quadrant I, what is the value of sin(A  B) ?

15 If sin x  4

, where 0  x  90 , find the value of

cos(x  180) .

Regents Exam Questions A2.a.76: Angle Sum And Difference Identities 4 Worksheet With Answers

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