Question 43

simplify $$\frac{cot (90^\circ-\theta) sin(180^\circ-\theta) sec(360^\circ-\theta)}{tan(180^\circ+\theta) sec(-\theta) cos(90^\circ+\theta)}$$

Solution

$$\frac{cot (90^\circ-\theta) sin(180^\circ-\theta) sec(360^\circ-\theta)}{tan(180^\circ+\theta) sec(-\theta) cos(90^\circ+\theta)}$$

$$\frac{cot (90^\circ-\theta)$$ = tan(\theta)

$$sin(180^\circ-\theta)$$

$$sec(360^\circ-\theta)$$

$$tan(180^\circ+\theta)$$

$$sec(-\theta)$$

$$cos(90^\circ+\theta)$$

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