Question

Tanθ / cosθ ​ in terms of cos​

Answer 1

The expression tanθ/cosθ can be simplified using the identity:

tanθ = sinθ/cosθ

Substituting this into the original expression, we get:

tanθ/cosθ = (sinθ/cosθ) / cosθ

= sinθ / (cosθ x cosθ)

= sinθ / cos²θ

Now, using the identity cos²θ = 1 - sin²θ, we can substitute cos²θ in the denominator:

sinθ / cos²θ = sinθ / (1 - sin²θ)