Find x from the following equations:
⇒ cosec (90° + θ) +x cos θ cot (90° + θ) = cos θ
We know that when n is odd, cot → tan.
⇒ sec θ +x cos θ [-tan θ] = cos θ
⇒ sec θ –x cos θ tan θ = cos θ
⇒ sec θ –x cos θ (sin θ/ cos θ) = cos θ
⇒ sec θ –x sin θ = cos θ
⇒ sec θ – cos θ =x sin θ
We know that 1 – cos2 θ = sin2 θ
⇒ tan θ =x
∴x = tan θ