Q1 of 48 Page 84

Express all the trigonometric ratios ∠θ in terms of sec θ.

As we know


sin2 θ + cos2 θ = 1


⇒ sin2 θ = 1 – cos2θ


⇒ sin2 θ = 1 –


⇒ sin θ =


cos θ =


using the identity: sec2 θ – tan2 θ = 1


⇒ tan2 θ = sec2 θ – 1


tan θ =


cosec θ =


⇒ cosec θ =


⇒ cosec θ =


sec θ = sec θ


cot θ =


More from this chapter

All 48 →
2

Express the trigonometric ratios sin θ, sec θ, tan θ in terms of cot θ.

 3

Prove the following with the help of identities:

cos2θ + cos2θ.cot2θ = cot2θ

 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