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As θ increases from 0 to π/2 (90o) sin θ increases until it reaches a maximum value of 1 when θ = π/2.

As θ increases from π/2 (90o) to 3π/2 (270o) sin θ decreases until it reaches a minimum value of -1 when θ = 3π/2.

As θ increases from 3π/2 (270o) to 3π (360o) sin θ increases until it reaches the value of 0 it had when θ = 0.

From this point, as θ increases (by the same amounts) sin θ repeats this same cyclic behaviour.

Q: Does the value of sin theta increases as theta increases?

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0.75

answer is 2.34 degrees answer is 2.34 degrees

sin-1 (0.91) = about 1.14328 radians.

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

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

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The only real solution is theta = 0For theta < 0 square root of 3 theta is not defined.For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.The only real solution is theta = 0For theta < 0 square root of 3 theta is not defined.For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.The only real solution is theta = 0For theta < 0 square root of 3 theta is not defined.For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.The only real solution is theta = 0For theta < 0 square root of 3 theta is not defined.For theta > 0, sin theta increases slower than 3*theta and so the sum is always negative.

The answer will depend on where, in the sine function, the x-value appears: For example, its roles in f(x) = sin(x), or f(x, theta) = x*sin(theta) or f(x, theta) = sin(x*theta) f(theta) = sin(theta + x) are quite different.

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

0.75

answer is 2.34 degrees answer is 2.34 degrees

sin-1 (0.91) = about 1.14328 radians.

theta = arcsin(0.0138) is the principal value.

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.

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.

4 sin(theta) = 2 => sin(theta) = 2/4 = 0.5. Therefore theta = 30 + k*360 degrees or 150 + k*360 degrees where k is any integer.

Any value for which sin(theta) = 0, i.e. theta = N*180, N being an Integer.

(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.