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Q: Should we find cos theta if sec theta equals -10?
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Find all angles in the interval 0 360 satisfying the equation cos theta equals 0.7902?

cos(theta) = 0.7902 arcos(0.7902) = theta = 38 degrees you find complimentary angles


How do you solve theta if cos squared theta equals 1 and 0 is less than or equal to theta which is less than 2pi?

cos2(theta) = 1 so cos(theta) = ±1 cos(theta) = -1 => theta = pi cos(theta) = 1 => theta = 0


What is cos theta times cos theta?

Cos theta squared


How would you solve and show work for cos2 theta if cos squared theta equals 1 and theta is in the 4th quadrant?

cos2(theta) = 1 cos2(theta) + sin2(theta) = 1 so sin2(theta) = 0 cos(2*theta) = cos2(theta) - sin2(theta) = 1 - 0 = 1


How do you solve 4 cosine squared theta equals 1?

4*cos2(theta) = 1 cos2(theta) = 1/4 cos(theta) = sqrt(1/4) = ±1/2 Now cos(theta) = 1/2 => theta = 60 + 360k or theta = 300 + 360k while Now cos(theta) = -1/2 => theta = 120 + 360k or theta = 240 + 360k where k is an integer.


What is cos 360 minus theta?

- cos theta


How do you simplify tan theta cos theta?

Remember that tan = sin/cos. So your expression is sin/cos times cos. That's sin(theta).


De Morgan's law in complex number?

(Sin theta + cos theta)^n= sin n theta + cos n theta


What is the identity for tan theta?

The identity for tan(theta) is sin(theta)/cos(theta).


What is sec theta - 1 over sec theta?

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


What is cos theta multiplied by csc theta?

It is cotangent(theta).


How do you find tan-theta when sin-theta equals -0.5736 and cos-theta is greater than 0?

-0.5736