3 years ago

Name the quadrant in which tanθ and secθ are positive.

Mathematics

1 answer:

Setler79 [48]3 years ago

4 0

ANSWER

Quadrant I

EXPLANATION

In the first quadrant all the trigonometric ratios are positive.

This implies that,both tanθ and secθ are positive in the first quadrant.

No two trigonometric ratios are positive in any other quadrant apart from the first quadrant.

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Find x Thanks for the help in advance!

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I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

$AH=2,\quad HB=6,\quad AC=x$

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

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If we solve the first two equations for y squared, we have

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