7 days ago

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

Mathematics

2 answers:

Inessa [9K]7 days ago

8 0

Response

first part = c/a

second part = b/a

Sine represents the ratio of the opposite side to the hypotenuse concerning a given angle, whereas tangent denotes the ratio of the opposite side to the adjacent side of a specific angle.

First part

Sine = opposite/hypotenuse

SinB = b/a

Tangent = opposite/adjacent

TanC = c/b

SinB × TanC = b/a×c/b

= c/a

Second part

SinC = c/a

TanB = b/c

SinC×TanB= c/a×b/c

= b/a

lawyer [9.2K]7 days ago

6 0

In this triangle, the multiplication of sin B with tan C equals c/a or cos B, and similarly, the multiplication of sin C with tan B results in b/a cos C. We arrive at these conclusions as follows:

sin B tan C = b/a (c/b) = c/a

sin C tan B = c/a (b/c) = b/a

I hope this clarifies your question. Have a great day.

You might be interested in

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months cost

Zina [9171]

The solution is 60 dollars.

5 0

13 days ago

Read 2 more answers

HELP!!!! 2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 ab

PIT_PIT [9117]

Answer:

5th-grade mean - 4.67

7th-grade mean - 3.46