4 years ago

Cost To Store : $20 Markup : 20% { I Need To Find Out The Sale Price }

1 answer:

mote1985 [20]4 years ago

6 0

So I am assuming that there is a 20% off sale on an item that is 20$.
Edit: I read the question wrong, the 2nd thing I wrote down is the correct answer, it will be $24 after the markup.

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Prove the following identity showing all steps:

kiruha [24]

Answer:

See solution below

Step-by-step explanation:

Given the expression

$\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\$

Recall that

cos x = sin(90-x)

cos(x+30 ) = sin (90-(x+30)

= sin(90-x-30)

= sin(60-x)

Substitute

$\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved$