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grin007 [14]
3 years ago
11

Simplify the trigonometric expression sec theta cos theta a. tan theta b. 1 c. cot theta d. sin theta

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0
Question:<u /> <em>Simplify the trigonometric expression sec</em><span><em>Өcos</em></span><span><em>Ө.</em></span>

For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)

Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as \frac{1}x.

An important property of reciprocals is that if you mutliply them together they will cancel out--take \frac{4}7\times\frac{7}4 for example.

Since sec<span>Ө is literally <em>defined</em> as the reciprocal of cos</span><span>Ө, it is evident that
\boxed{\sec\Theta\cos\Theta=1}</span>
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