it's because the reference angle for 150 is equal to 30. that reference angle is the angle within the triangle formed from dropping a perpendicular to the x-axis of the unit circle. here's a sketch of 30 degrees and 150 degrees on the unit circle and the triangles formed. the 30 degree angle is in quadrant 1.
Considering this, what is the exact value of sin 150 degrees?
So, sin 150 =1/2.
what is value of sin pi? The value of Cos pi= -1 and Sin pi=0. The period of sin is also 2pi or 360° and its value repeats after 2pi or 360°.
Similarly, what is the exact value of sin 120?
But in degrees it's sin 120=(✓3)/2. There is a simple thumb rule for this. sin(90+x)=+cos x (since sin x is positive in second quadrant.)
What is the exact value of sin 270?
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What is the exact value of cos 135?
Answer and Explanation:
The exact value of cos(135°) is -√(2) / 2.
What is the exact value of sin 240?
sin (240) = sin (60 + 180) = – sin 60.
What is the exact value of sin 5pi 6?
The exact value of sin(π6) sin ( π 6 ) is 12 .
What is the exact value of sin 330?
360 – 330 = 30, so we are subtracting 30 degrees from 360 to get the sin inverse, 330. Since we are subtracting from 360, the ratio will remain sin, and because it is in the 4th quadrant, the sin will be negative.
What is cos 180 minus theta?
Trigonometric ratios of 180 degree minus theta is one of the branches of ASTC formula in trigonometry. Trigonometric-ratios of 180 degree minus theta are given below. sin (180° – θ) = sin θ cos (180° – θ) = – cos θ tan (180° – θ) = – tan θ
What is sin 60 degrees?
The exact value of sin(60°) sin ( 60 ° ) is √32 .
What is the sin of 120 degrees in radians?
Important Angle Summary
How do you find sin 2pi 3?
The exact value of sin(π3) sin ( π 3 ) is √32 .
What is sin180?
According to the Unit Circle, the coordinates for 180 degrees are (1,0). Sin is the y-coordinate. So sin 180= 0. NOTE: I assume that you mean sin of 180 degrees.
Is Cosecant hypotenuse over opposite?
We know that the cosecant is the reciprocal of the sine. Since sine is the ratio of the opposite to the hypotenuse, cosecant is the ratio of the hypotenuse to the opposite.
What is 2π?
Recall that the circumference of a circle is 2πR, so that means there are 2π, or roughly 6.28 radians in a full circle. Because a full circle is also exactly 360°, each radian comes out to approximately 57.296°.
What is the sin of 2pie?
2π is a full rotation so replace with 0 . The exact value of sin(0) is 0 .
What is the value of Tan pi 6?
The exact value of tan(π6) tan ( π 6 ) is √33 .
What is the mean of pi?
Definition: Pi is a number – approximately 3.142. It is the circumference of any circle divided by its diameter. The number Pi, denoted by the Greek letter π – pronounced ‘pie', is one of the most common constants in all of mathematics. It is the circumference of any circle, divided by its diameter.
What is the value of 2π?
Also, since an angle in radians is defined as the ratio of two lengths, L/r, it is dimensionless. Since 90° = π / 2 radians, to four significant figures, one radian equals 180°/ π = 57.30°. There are 2π radians in a full circle. (So 2π radians should equal 360°.
How do you find the sin?
In any right angled triangle, for any angle:
- The sine of the angle = the length of the opposite side. the length of the hypotenuse.
- The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
- The tangent of the angle = the length of the opposite side. the length of the adjacent side.
How do you find the value of sin PI 3?
Pi/3 in radians, or 60 degrees in degrees has the ordered pair (1/2, √3/2), and we will look at the y-value of this ordered pair. As a result, our answer is that sin(pi/3) = √3/2. Alternatively, you could plug this into a calculator and get 0.86602540378, which is equal.
What is the value of cos 3 pi by 4?
Solution: The exact value of cos 3pi/4 is -1/√2.
How do you find the value of cos 270?
If this is the case, then at 90 degrees, we will intersect the unit circle at the point (0,1), and at 270 degrees we will be at (0,−1) . Given that, we can easily find the sine and cosine: sin(270o)=−1,cos(270o)=0,tan(270o)=−10= undefined.