Q3 of 80 Page 311

If sec θ + tan θ=2, then let us determine the value of (sec θ-tan θ).

Given, secθ + tanθ = 2


⇒ sec2θ = 1 + tan2θ


⇒ sec2θ - tan2θ = 1


⇒ (secθ + tanθ)( secθ- tanθ) = 1


⇒ 2(secθ- tanθ) = 1


⇒


More from this chapter

All 80 →
1

If tan θ=1, then let us determine the value of

2

i. Let us express cosec θ and tan θ in term of sin θ.

ii. Let us write cosec θ and tan θ in term cos θ.

 3

If cosec θ – cot θ = √2 – 1, then let us write by calculating, the value of (cosec θ + cot θ).

 3

If sin θ + cos θ = 1, then let us determine the value of sin θ × cos θ.