Q: What is sec of 2 theta?

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Ut is equual to tan(theta) / (sec(theta) + 1)

It also equals 13 12.

For such simplifications, it is usually convenient to convert any trigonometric function that is not sine or cosine, into sine or cosine. In this case, you have: sin theta / sec theta = sin theta / (1/cos theta) = sin theta cos theta.

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If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432

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Let 'theta' = A [as 'A' is easier to type] sec A - 1/(sec A) = 1/(cos A) - cos A = (1 - cos^2 A)/(cos A) = (sin^2 A)/(cos A) = (tan A)*(sin A) Then you can swap back the 'A' with theta

Ut is equual to tan(theta) / (sec(theta) + 1)

Tan^2

If tan theta equals 2, then the sides of the triangle could be -2, -1, and square root of 5 (I used the Pythagorean Theorem to get this). From this, sec theta is negative square root of 5. It is negative because theta is in the third quadrant, where cosine, secant, sine, and cosecant are all negative.

zero

No.

It also equals 13 12.

For such simplifications, it is usually convenient to convert any trigonometric function that is not sine or cosine, into sine or cosine. In this case, you have: sin theta / sec theta = sin theta / (1/cos theta) = sin theta cos theta.

By converting cosecants and secants to the equivalent sine and cosine functions. For example, csc theta is the same as 1 / sin thetha.

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Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.

If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432