Simplify the trigonometric expression sec theta cos theta a. tan theta b. 1 c. cot theta d. sin theta
1 answer:
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
.
An important property of reciprocals is that if you mutliply them together they will cancel out--take
for example.
Since sec<span>Ө is literally <em>defined</em> as the reciprocal of cos</span><span>Ө, it is evident that
</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
An important property of reciprocals is that if you mutliply them together they will cancel out--take
Since sec<span>Ө is literally <em>defined</em> as the reciprocal of cos</span><span>Ө, it is evident that
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Answer:
16 friends
Step-by-step explanation:
Right at the beginning, you can take the 2 chocolates Jack was left with out of the 50 chocolates Jack had at the beginning. That equals 48 chocolate bars, so we know that Jack gave his friends a total if 48 chocolates
Now that you have the number 48, you are really close to the answer.
If you know that he gave each if his friends 3 chocolates, you can make that into an equation and put it into a calculator. That would look like this:
The reason you do 48 ÷ 3 is because Jack divided his 48 chocolates into groups of 3 to give to each of the other kids.
You get the answer 16, which means the answer is 16 kids at his friend's birthday party.