Question

How do you express tanθ−cotθ+sinθ in terms of cosθ?

Answer 1

Answer:

Step-by-step explanation:

tanθ = sinθ/cosθ

cotθ = 1/tanθ = 1/sinθ/cosθ = cosθ/sinθ

cosθ = cosθ

Now, sinθ/cosθ - cosθ/sinθ + cosθ

= sin^2θ - cos^2θ + (sinθ x cos^2θ)/ sinθ x cosθ

= -1 + sinθ x cos^2θ/sin x cosθ

= -1 + cosθ/1 [sin x cosθ/sin x cosθ]

= -1 + cosθ

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