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4. Trigonometric Ratios and Identities
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Q6 of 268 Page 4

If A=60o and B = 30o, verify that :

sin (A – B) = sin A cos B – cos A sin B

Given: A=60o and B =30o

Now, LHS = Sin (A-B)


⇒ Sin (60 o - 30 o)


⇒ Sin (30 o)



Now, RHS = Sin A Cos B – Cos A Sin B


⇒ sin(60 o) cos(30 o) – cos(60 o) sin (30 o)





∴ LHS = RHS


Hence Proved


More from this chapter

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5

Prove the following :

6

If A=60o and B = 30o, verify that :

cos (A+B) = cos A cos B – sin A sin B

6

If A=60o and B = 30o, verify that :

tan (A – B) =

7

If A = 30o, verify that :

sin 2A = 2 sin A cos A

Questions · 268
4. Trigonometric Ratios and Identities
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