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You cannot prove it because it is not true!

cos(0) = 1

cos(2*pi) = 1

cos(4*pi) = 1

...

cos(2*k*pi) = 1 for all integers k

or, if you still work in degrees,

cos(0) = 1

cos(360) = 1

cos(720) = 1

...

cos(k*360) = 1 for all integers k

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Q: How do you proof that there is one and only one value of theta makes cos of theta equals 1 true?
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Related questions

How do you figure this out Sin theta equals 0.0138 so theta equals what?

theta = arcsin(0.0138) is the principal value.


If sin theta equals 3/4 and theta is in quadrant II what is the value of tan theta?

0.75


How do you simplify bracket 1 plus tan theta bracket bracket 5 sin theta -2 bracket equals 0?

(in a past paper it asks u to solve this for -180</=theta<180, so I have solved it) Tan theta =-1, so theta = -45. Use CAST diagram to find other values of theta for -180</=theta<180: Theta (in terms of tan) = -ve, other value is in either S or C. But because of boundaries value can only be in S. So other value= 180-45=135. Do the same for sin. Sin theta=2/5 so theta=23.6 CAST diagram, other value in S because theta (in terms of sin)=+ve. So other value=180-23.6=156.4.


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

-0.5736


How do you find smallest positive value of theta to the nearest degree. When sin theta equals 0.3455?

you have to do the arcsin which is sin-1 on your calculator. i have not met anyone in my life who can do sin or arcsin in their head. not even my college teachers. your theta is equal to 20degrees


When is tan theta theta?

tan (theta x theta) : must square the value of the angle, theta, before applying the trig function, tangent.


Trigonometric table for decimal value of theta?

221 is theta (1)


true or false in r theta the value of theta can be negative?

True


What is csc theta?

That depends on the value of the angle, theta. csc is short for "cosecans", and is the reciprocal of the sine. That is, csc theta = 1 / sin theta.


Is it possible for sin theta cos theta and tan theta to all be negative for the same value of theta?

No, they cannot all be negative and retain the same value for theta, as is shown with the four quadrants and their trigonemtric properties. For example, in the first quadrant (0


Is sin squared theta and sin theta squared the same?

Your question is insufficiently precise, but I'll try to answer anyway. "Sine squared theta" usually means "the value of the sine of theta, quantity squared". "Sine theta squared" usually means "the value of the sine of the quantity theta*theta". The two are not at all the same.


If cos and theta 0.65 what is the value of sin and theta?

You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.