SUM AND DIFFERENCE FORMULA IN TRIGONOMETRY WORKSHEET

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Problem 1 :

sin (45ΒΊ) cos (15ΒΊ) – cos (45ΒΊ) sin (15ΒΊ)

Solution

Problem 2 :

sin (53ΒΊ) cos (7ΒΊ) + cos (53ΒΊ) sin (7ΒΊ)

Solution

Problem 3 :

cos πœ‹10cos πœ‹9 - sin πœ‹10sin πœ‹9

Solution

Problem 4 :

sin πœ‹5cos πœ‹7 - cos πœ‹5sin πœ‹7

Solution

Problem 5 : 

sin 13πœ‹12cos πœ‹12 + cos 13πœ‹12sin πœ‹12

Solution

Problem 6 :

cos 5πœ‹12cos 17πœ‹12 + sin 5πœ‹12sin 17πœ‹12

Solution

Problem 7 :

sin (2A) cos (A) – cos (2A) sin (A)

Solution

Problem 8 :

cos (3Ξ±) cos (Ξ±) + sin (3Ξ±) cos (Ξ±)

Solution

Problem 9 :

tan 32Β° + tan 2Β°1 - tan 32Β° tan 2Β°

Solution

Problem 10 :

tan 49Β° - tan 4Β°1 + tan 49Β° tan 4Β°

Solution

Answer Key

1)  1/2

2)  βˆš3/2

3)  cos (19πœ‹/90)

4)  sin (2πœ‹/35)

5)  sin (14πœ‹/12)

6)  -1

7)  sin A

8)  cos 2Ξ±

9)  tan 34Β°

10)  1

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