Question

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

In this triangle, the product of sin B and tan C is
, and the product of sin C and tan B is
.

Answer 1

The product of sin B and tan C is (c/a)

The product of sin C and tan B is (b/a)

PLATO

Answer 2

The product of sin B and tan C is c/a

The product of sin C and tan B is b/a

Further explanation

We can use

SOH stands for Sine = Opposite ÷ Hypotenuse.

CAH stands for Cosine = Adjacent ÷ Hypotenuse.

TOA stands for Tangent = Opposite ÷ Adjacent.

There is a picture attached

`\tt sin~B=(b)/(a)\\\\Tan~C=(c)/(b)\\\\sin~B* Tan~C=(b)/(a)* (c)/(b)=(c)/(a)`

`\tt sin~C=(c)/(a)\\\\Tan~B=(b)/(c)\\\\sin~C* tan~B=(c)/(a)* (b)/(c)=(b)/(a)`