2.)
a.) 1/ sin 0
b.) 1/ cot 0
c.) 1/ cos 0
d.) 1/ csc 0
e.) 1/ sec 0

B) .

Step-by-step explanation:

We have to find out the reciprocal of .

We have drawn a triangle for your reference.

In which

AB = opposite side

BC = adjacent side

CA = hypotenuse

Since we know that the is equal to opposite side upon adjacent side.

Or

Where as  the is equal to adjacent side upon opposite side.

Therefore,

Or

From equation 1 and equation 2 we can say that;

Hence .

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4