Fill in the blank. if necessary, use the slash mark ( / ) for a fraction bar if sin theta= 3/5 , then tan theta = ?

In trigonometry sin theta is the ratio of the opposite side to the hypotenuse side.The value of the tan theta is 3/4.

The value of the sin theta given in the question is,

In trigonometry sin theta is the ratio of the opposite side to the hypotenuse side.

Let is the adjacent side, is the opposite side and is the hypotenuse side. Thus the value of the sin theta;

The given value of the sin theta in the question is,

When we equate both the values of the sin theta we get, is 3 and is 5.

According to the Pythagoras theorem;

In trigonometry tan theta is the ratio of the opposite side to the adjacent side.Thus,

Thus the value of the tan theta is 3/4.

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or in other words

3 is the opposite, and 5 is the hypotenuse.

You can use the pythagorean theorem to find the other side(adjacent)

a²+b²=c²

3²+b²=5²

9+b²=25 Subtract 9 on both sides

b²=16 Square root both sides

b = √16

b = 4

So the adjacent is 4.

tan theta = opposite/adjacent

tan theta = 3/4

for this case we have the following expression:

to solve, we rewrite the expression as:

we apply double c and we have:

thus, the quotient is 48.

so, patel found a wrong ratio and the multiplication was incorrect.

option d

step-by-step explanation: