Q3 of 80 Page 311

If then let us write by calculating, the value of (sin θ + cos θ).

⇒


⇒ 2sinθcosθ = 1


⇒ we know that, sin2θ + cos2θ = 1


Can be written as


⇒ (sinθ + cosθ)2 – 2sinθcosθ = 1


⇒ (sinθ + cosθ)2-1 = 1


⇒ (sinθ + cosθ)2 = 2


⇒ (sinθ + cosθ) = √2


More from this chapter

All 80 →
3

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

 3

If then let us determine the value of sin θ + cos θ.

 3

If then let us determine the values of both sec θ and tan θ.

 3

If cosec θ + cot θ = √3, then let us determine the values of both cosec θ and cot θ.