Question

Show that (1/cos θ) − cos θ = tanθ .sin θ

Answer 1

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Answer 2

Answer:

(1/cos θ) − cos θ = tanθ .sin θ

Step-by-step explanation:

(1/cos θ) − cos θ = tanθ .sin θ

LHS =

(1/cos θ) − cos θ

= (1 - cos² θ)/ Cos θ

as we know that Sin² θ + cos² θ = 1

=> 1 - cos² θ = Sin² θ

= Sin² θ  / Cos θ

= Sin θ * Sin θ / Cos θ

using  Sin θ / Cos θ = Tan θ

= Sin θ * Tan θ

= tanθ .sin θ

= RHS

(1/cos θ) − cos θ = tanθ .sin θ