Slight Variations Between Identities

Geometry Level 2

We know that the identity sin ⁡ x cos ⁡ x = tan ⁡ x \dfrac{\sin x}{\cos x} = \tan x is true. Which of the following identities is true as well?

sin ⁡ x cos ⁡ x + 3 = tan ⁡ x 4 \frac{\sin x}{\cos x + 3} = \tan \frac x4 sin ⁡ x cos ⁡ x + 2 = tan ⁡ x 3 \frac{\sin x}{\cos x + 2} = \tan \frac x3 sin ⁡ x cos ⁡ x + 4 = tan ⁡ x 6 \frac{\sin x}{\cos x + 4} = \tan \frac x6 sin ⁡ x cos ⁡ x + 1 = tan ⁡ x 2 \frac{\sin x}{\cos x + 1} = \tan \frac x2

Pi Han Goh by Pi Han Goh , 30, Malaysia

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