Mathematics

Mathematics

Problem

Simplify the expression 1sin⁡θ⋅sin⁡θcos⁡θ\dfrac{1}{\sin\theta}\cdot\dfrac{\sin\theta}{\cos\theta}. a) csc⁡θ\csc\theta b) sec⁡θ\sec\theta c) tan⁡θ\tan\theta d) cos⁡θ\cos\theta
Intuitive explanation

This is about recognizing when terms cancel in a fraction product. When you multiply fractions, you can strike out any factor that appears in both a numerator and denominator—here, sin⁡θ\sin\theta appears on top and bottom, so it vanishes. What remains is a single trigonometric ratio that you likely already know by name.

Intuitive explanation

This is about recognizing when terms cancel in a fraction product. When you multiply fractions, you can strike out any factor that appears in both a numerator and denominator—here, sin⁡θ\sin\theta appears on top and bottom, so it vanishes. What remains is a single trigonometric ratio that you likely already know by name.

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