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7. Trigonometric Identities
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Q20 of 48 Page 84

Prove the following with the help of identities:

Taking L.H.S we get,



⇒


⇒


Taking L.C.M and using: a3 – b3 = (a – b)(a2 + b2 + ab)


⇒


⇒


⇒


⇒ cot θ + tan θ + 1


⇒ +1


⇒ + 1


⇒ cosec θ.sec θ + 1


= R.H.S


Hence, proved.


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18

Prove the following with the help of identities:

sinθ (1 + tanθ) + cosθ(1 + cotθ) = cosecθ + secθ

19

Prove the following with the help of identities:

sin2θ cosθ + tanθsinθ + cos3θ = secθ

21

Prove the following with the help of identities:

(sin A + cosec A)2 + (cos A + sec A)2 = 7 + tan2A + cot2A

22

Prove the following with the help of identities:

sin8θ – cos8θ = (sin2θ – cos2θ) (1– 2sin2θ cos2θ)

Questions · 48
7. Trigonometric Identities
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