Q6 of 48 Page 84

Prove the following with the help of identities:

To rationalizing the denominator multiply by the conjugate to both numerator and denominator: (1 – sin θ)


⇒ =


⇒


Using, cos2 θ = 1 – sin2 θ


⇒


⇒ sec θ – tan θ


= R.H.S


Hence, proved.


More from this chapter

All 48 →
4

Prove the following with the help of identities:

sec θ (1 – sin θ) (sec θ + tan θ) = 1

 5

Prove the following with the help of identities:

cosec2θ + sec2θ = cosec2θ sec2θ

 7

Prove the following with the help of identities:

 8

Prove the following with the help of identities: