Q3 of 80 Page 311

If then let us write by calculating, the value of (sec4 – tan4 θ).

Given,


⇒ sec2θ = 1 + tan2θ


⇒


⇒


⇒


⇒


⇒


⇒


⇒ (sec4θ –tan4θ)


= (sec2θ)2-(tan2θ)2


=


=


=


More from this chapter

All 80 →
3

Let us determine the value of from the relation

3

If then let us determine the values of tan θ + cot θ and tan θ – cot θ and from these let us write the value of tan θ.

 4

In ΔPQR, ∠Q is right angle. If PR = √5 units and PQ – RQ = 1 unit, then let us determine the value of cosP – cosR.

 4

In ΔXYZ, ∠Y is right angle. If XY = 2√3 units and XZ – YZ = 2 units then let us determine the values of (secX - tanX).