Question

Plz solve this plz and how it happened step by step

Answer 1

Hope this answer helps you.

Answer 2

HEY MATE HERE IS UR ANSWER
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IDENTITIES USED:
》sin²θ+cos²θ=1
》tan θ= sinθ/cos θ
》cot θ= cosθ/ sinθ

IMPLEMENTATION ↷
$\cotθ = \frac{ \cos θ }{ \sinθ } - eq.(i) \\ \\ tanθ = \frac{ \sinθ }{ \cosθ } - eq(ii) \\ \\ subtracting \: eq(ii) \: from \: eq.(i) \\ \\ solving \: lhs => \\ \\ \frac{ cos θ}{sin θ} - \frac{ sinθ }{ cosθ } \\ \\ \frac{{ { \cos }^{2} θ - \:{ \sin }^{2} θ } }{cos θ \sin θ} \\ \\ \frac{ { \cos }^{2} θ - 1 +{ \cos }^{2} θ }{ \: {cos θ \sin θ}} \\ \\ \frac{2{ \cos }^{2} θ - 1 }{{cos θ \sin θ} }$