SUM AND DIFFERENCE FORMULA IN TRIGONOMETRY WORKSHEET

Problem 1 :

sin (45º) cos (15º) – cos (45º) sin (15º)

Solution

Problem 2 :

sin (53º) cos (7º) + cos (53º) sin (7º)

Solution

Problem 3 :

cos 𝜋10cos 𝜋9 - sin 𝜋10sin 𝜋9

Solution

Problem 4 :

sin 𝜋5cos 𝜋7 - cos 𝜋5sin 𝜋7

Solution

Problem 5 : 

sin 13𝜋12cos 𝜋12 + cos 13𝜋12sin 𝜋12

Solution

Problem 6 :

cos 5𝜋12cos 17𝜋12 + sin 5𝜋12sin 17𝜋12

Solution

Problem 7 :

sin (2A) cos (A) – cos (2A) sin (A)

Solution

Problem 8 :

cos (3α) cos (α) + sin (3α) cos (α)

Solution

Problem 9 :

tan 32° + tan 2°1 - tan 32° tan 2°

Solution

Problem 10 :

tan 49° - tan 4°1 + tan 49° tan 4°

Solution

Answer Key

1)  1/2

2)  √3/2

3)  cos (19𝜋/90)

4)  sin (2𝜋/35)

5)  sin (14𝜋/12)

6)  -1

7)  sin A

8)  cos 2α

9)  tan 34°

10)  1

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