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5. Trigonometric Functions
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Q6 of 118 Page 5

Prove the following identities

= (secx cosecx + 1)

LHS


We know that






We know that a3 - b3 = (a - b) (a2 + b2 + ab)



We know that sin2x + cos2x = 1.





We know that


= cosecx × secx + 1


= secx cosecx + 1


= RHS


Hence proved.


More from this chapter

All 118 →
4

Prove the following identities

cosecx (secx – 1) – cotx (1 – cosx) = tanx – sinx

5

Prove the following identities

7

Prove the following identities

8

Prove the following identities

(secx sec y + tanx tan y)2 – (secx tan y + tanx sec y)2 = 1

Questions · 118
5. Trigonometric Functions
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