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If sinA-cosA=0, What is the value of TanA and SecA?​

User Svish
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1 Answer

1 vote

Answer:

tan(x) = 1

sec(x) = sqrt(2)

Explanation:

(Reminder: sin is the height of the triangle of the unit circle and cos is the length)

The only values where a right triangle with a hypotenuse of 1 has equal lengths of legs are 45-45-90 triangles. The sin and cosine of those triangles are both 1/sqrt(2).

Since tan(x) = sin(x)/cos(x), and sin(x) = cos(x), tan(x) is just going to be 1.

sec(x) is defined as 1/cos(x). since cos(x) is 1/sqrt(2), sec(x) is just sqrt(2).

I hope this helped.

User MangoNrFive
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