Question

Sin thita plus cos equal to root 2 then evaluate tan thita plus cot thita

Answer 1

Answer:

Step-by-step explanation

solution:-

sin θ + cos θ = √2

(square on both side)

= ( sin θ + cos θ )² = √2²

= (sin² θ + cos² θ )+ 2 sin θ cos θ = 2

= 1+ 2sin θ cos θ = 2

=> sin θ cos θ = 1/2

now

tanθ + cot θ =sin θ/cos θ + cos θ/sin θ

=( sin² θ +cos² θ) / sin θ cos θ

= 1 / (1/2) = 2 is the answer