Q3 of 80 Page 311

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

Given, cosecθ –cotθ = √2 -1


⇒ cosec2θ = 1 + cot2θ


⇒ cosec2θ - cot2θ = 1


⇒(cosecθ + cotθ)(cosecθ – cotθ) = 1


⇒(cosecθ + cotθ)(√2-1) = 1


⇒


More from this chapter

All 80 →
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 sec θ + tan θ=2, then let us determine the value of (sec θ-tan θ).

 3

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

 3

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