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2 months ago

5

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

2 answers:

Inessa [12.5K]2 months 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 [12.5K]2 months ago

6 0

<span>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:

</span><span>sin B tan C = b/a (c/b) = c/a

</span><span>sin C tan B = c/a (b/c) = b/a

I hope this clarifies your question. Have a great day.</span>

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