Find x
a) 21 √2
b)7
c)21 √2/2
d)21 √3/2

C

Step-by-step explanation:

Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values

sin60° = , cos45° = , thus

sin60° = = = ( cross- multiply )

2 × opp = 21 ( divide both sides by 2 )

opp =

Now consider the right triangle on the right, using the cosine ratio

cos45° = = = ( cross- multiply )

x = × = → C

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

answer4 to the second power is 16

and 4 to the third power is 64,