Sin 12 Degrees: Value, Radians, And How To Find It
Read ArticleSin 11pi/6: Exact Value On The Unit Circle
Sin 11pi/6 equals -1/2, which is -0.5 as a decimal. The angle (11π)/6 radians is the same as 330^°, and it lands in the fourth quadrant of the unit circle, where sine values are negative. Its reference angle is (π)/6 (that is 30^°), so the size of the value is 1/2 and the fourth quadrant makes it negative.
Read moreSin 8 Degrees: Value, Radians & How To Find It
Sin 8 degrees is approximately 0.1392 (to four decimal places), a small positive number because 8° sits in the first quadrant. In radians, 8° is (2π)/45 ≈ 0.1396. Unlike 30°, 45°, or 60°, the angle 8° has no clean square-root form, so the honest value is the decimal, backed by the cofunction relation sin 8^° = cos 82^°.
Read moreSin 7pi/6: Exact Value, Unit Circle & Steps
Sin 7pi/6 equals -1/2, which is -0.5000 as a decimal. The angle (7π)/6 is the same as 210^°, and it lands in the third quadrant, where sine is negative. Its reference angle is (π)/6 (that is 30^°), and sin(π)/6 = 1/2, so the third-quadrant sign flips it to -1/2.
Read moreSin 7pi/4: Exact Value On The Unit Circle
Sin 7pi/4 equals -(√2)/2, which is the same as -1/(√2) and about -0.7071. The angle (7π)/4 radians is 315^°, it lands in the fourth quadrant, and its reference angle is (π)/4 (45^°). Sine is negative in the fourth quadrant, so the 45^° value flips its sign.
Read moreSin 7pi/2: Value, Unit Circle & Exact Answer
Sin 7pi/2 equals -1 exactly (decimal -1.0000). The angle (7π)/2 is 630^°, which is coterminal with (3π)/2 (270^°) once you subtract one full turn of 2π, so its terminal point on the unit circle is (0, -1) and the sine, the y-coordinate, is -1.
Read moreSin 7 Degrees: Value, Radians & Unit Circle
Sin 7 degrees equals about 0.1219 (to four decimal places), where the angle in radians is 7^° = (7π)/180 ≈ 0.1222. Unlike sin 30^° or sin 45^°, it has no neat square-root form, so the honest answer is the decimal plus the fact that sin 7^° = cos 83^°. Because 7^° lands in the first quadrant, the value is positive.
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