Q13 of 48 Page 84

Prove the following with the help of identities:

(secθ – cosθ) (cotθ + tanθ) = tanθsecθ

As we know,


sec θ = , cot θ = and tan θ =


Taking L.H.S we get,


(sec θ – cos θ)(cot θ + tan θ)


⇒ ()()


⇒ ()()


⇒ () (Using: cos2 θ + sin2 θ = 1 and 1 – cos2 θ = sin2 θ)


⇒


⇒ tan θ.sec θ


= R.H.S


Hence, proved.


More from this chapter

All 48 →
11

Prove the following with the help of identities:

 12

Prove the following with the help of identities:

cos4θ + sin4θ = 1 – 2 cos2θ sin2θ

 14

Prove the following with the help of identities:

 15

Prove the following with the help of identities: