Question

Fill in the blank A valid expression for c in terms of x is ________ Please help this is due

Answer 1

Answer:

c=  x/sin 30

or

c = x / cos 60

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 30 = x /c

Multiply each side by c

c sin 30 = x/c *c

c sin 30 = x

Divide each side by sin 30

c sin 30/sin 30 = x/ sin 30

c=  x/sin 30

Another valid expression would be

cos  theta = adjacent side / hypotenuse

cos 60 = x/c

Multiply by c

c cos 60 = x/c *c

c cos 60 =x

Divide by cos 60

c cos 60/ cos 60 = x / cos 60

c = x / cos 60

Answer 2

Your answer would be sin30)=x/c
sin is the opposite side over the hypotenuse.