which results from multiplying the six trigonometric functions?\n-3\n-1\n1\n3

which results from multiplying the six trigonometric functions?\n-3\n-1\n1\n3

which results from multiplying the six trigonometric functions?\n-3\n-1\n1\n3

Answer

Explanation:

Step1: Recall trigonometric functions

The six trigonometric functions are $\sin\theta$, $\cos\theta$, $\tan\theta=\frac{\sin\theta}{\cos\theta}$, $\cot\theta = \frac{\cos\theta}{\sin\theta}$, $\sec\theta=\frac{1}{\cos\theta}$, $\csc\theta=\frac{1}{\sin\theta}$.

Step2: Calculate the product

[ \begin{align*} &\sin\theta\times\cos\theta\times\frac{\sin\theta}{\cos\theta}\times\frac{\cos\theta}{\sin\theta}\times\frac{1}{\cos\theta}\times\frac{1}{\sin\theta}\ =&\frac{\sin\theta\times\cos\theta\times\sin\theta\times\cos\theta\times1\times1}{\cos\theta\times\sin\theta\times\cos\theta\times\sin\theta}\ =& 1 \end{align*} ]

Answer:

1