angles that have the same sine

cos θ = −cos (180° − θ). The supplement, 180° − θ, is the corresponding acute angle. It is important to notice the relationship between the angles. Not only is angle CBA a solution, . In general, if two angles differ by an integer multiple of \(360^\circ\) then each trigonometric function will have equal values at both angles. Problem 3. Also remember, sin has positive values in the 1st and 2nd quadrant whereas cos has positive values in the 1st and the fourth quadrant. The angle \(\beta\) has the same cosine value as the angle \(\theta\); the sine values would be opposites. If $$\alpha$$ and $$\beta$$ differ in $$180^\circ$$, we have: $$\sin(\alpha)=-\sin(\beta)$$ $$\cos(\alpha)=-\cos(\beta)$$ $$\tan(\alpha)=\tan(\beta)$$ That is, the sine and the cosine have equal values but differ in their signs, while the tangent is equal. This would be 307 degrees. During the interval 0 to 2pi they repeat the same value twice. They drawn from the closest horizontal in the appropriate quadrant. The angles marked by circle sections are equal to that found by the inverse trigonometric function, in this case sin-1. The other quadrants work the same for specific functions. The angles have to be opposite in sign. In "All" all results are positive, so if you have a positive sine cos or tan, you draw a line in "All". Below is a table showing the signs of cosine, sine, and tangent in each quadrant. The period is 2pi (360 degrees). And this is also true for Cosine and Tangent. What radian angle less than 2 π is x? a) 133 , b) 304 Sin and cos are periodic functions. Hence, Sin ∅ = Cos (90-∅) Since for complimentary function both angles must some to 90 degrees But the sine of an angle is equal to the sine of its supplement.That is, .666 is also the sine of 180° − 42° = 138°. The sine, cosine and tangent of two angles that differ in $$180^\circ$$ are also related. b) the sine has the same value in quadrants 1 and 2. This would be -53 degrees.Its helpful to look at a unit circle, But since the range given is 0 to 360, we just subtract 53 from 360 to get an equivalent angle. but so is angle CB'A, which is the supplement of angle CBA. Sine and Cosine function have similar value for 45° or π/4 and the value is 1/√2 Step-by-step explanation: Sine and Cosine function have similar value at an angle of 45 It must be remembered that sine and cosine are complementary functions. B 42°.. If, from the angle, you measured the smallest angle to the horizontal axis, all would have the same measure in … Have a look at this graph of the Sine Function: There are two angles (within the first 360°) that have the same value! sin θ = sin (180° − θ). On inspecting the Table for the angle whose sine is closest to .666, we find. a) the cosine has the same value for some angles in quadrants 1 and 4. All other corresponding angles will have values of the same magnitude, and we just need to pay attention to their signs based on the quadrant that the terminal side of the angle lies in. The cosine of an obtuse angle is equal to the negative of the cosine of its supplement. 405 - 360 = 45 therefore 405° and 45° are coterminal-315 + 360 = 45 therefore -315° and 45° are coterminal In trigonometry coterminal angles have the same trigonometric values. Angles such as these, which have the same initial and terminal sides, are called coterminal. This problem has two solutions. If the angle is negative add 360 until a number between 0 and positive 360 is reached. The sine of an obtuse angle is equal to the sine of its supplement.

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