Sin 750

Sin 750 Degrees

The value of
sin 750 degrees is 0.v. Sin 750 degrees in radians is written as sin (750° × π/180°), i.eastward., sin (25π/6) or sin (13.089969. . .). In this article, we will talk over the methods to find the value of sin 750 degrees with examples.

• Sin 750°:
  0.5
• Sin 750° in fraction:
  1/2
• Sin (-750 degrees):
  -0.v
• Sin 750° in radians:
  
  sin (25π/six) or sin (thirteen.0899693 . . .)

What is the Value of Sin 750 Degrees?

The value of sin 750 degrees in decimal is 0.5. Sin 750 degrees can also exist expressed using the equivalent of the given angle (750 degrees) in radians (13.08996 . . .).

We know, using caste to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 750 degrees = 750° × (π/180°) rad = 25π/6 or 13.0899 . . .
∴ sin 750° = sin(13.0899) = i/ii or 0.5

Explanation:

For sin 750°, the angle 750° > 360°. Given the periodic property of the sine function, nosotros tin can represent it as sin(750° mod 360°) = sin(xxx°). The bending 750°, coterminal to bending 30°, is located in the Showtime Quadrant(Quadrant I).
Since sine function is positive in the 1st quadrant, thus sin 750 degrees value = 1/two or 0.v
Similarly, sin 750° tin can also be written every bit, sin 750 degrees = (750° + n × 360°), n ∈ Z.
⇒ sin 750° = sin 1110° = sin 1470°, and so on.
Note:
Since, sine is an odd function, the value of sin(-750°) = -sin(750°).

Methods to Find Value of Sin 750 Degrees

The sine function is positive in the 1st quadrant. The value of sin 750° is given as 0.v. Nosotros can observe the value of sin 750 degrees by:

• Using Unit Circumvolve
• Using Trigonometric Functions

Sin 750 Degrees Using Unit Circumvolve

To discover the value of sin 750 degrees using the unit circumvolve, represent 750° in the form (ii × 360°) + 30° [∵ 750°>360°] ∵ sine is a periodic function, sin 750° = sin thirty°.

• Rotate ‘r’ anticlockwise to form a 30° or 750° bending with the positive x-axis.
• The sin of 750 degrees equals the y-coordinate(0.v) of the indicate of intersection (0.866, 0.5) of unit of measurement circle and r.

Hence the value of sin 750° = y = 0.5

Sin 750° in Terms of Trigonometric Functions

Using trigonometry formulas, nosotros tin correspond the sin 750 degrees as:

• ± √(1-cos²(750°))
• ± tan 750°/√(1 + tan²(750°))
• ± 1/√(1 + cot²(750°))
• ± √(sec²(750°) – one)/sec 750°
• 1/cosec 750°

Notation: Since 750° lies in the 1st Quadrant, the final value of sin 750° will be positive.

We can use trigonometric identities to represent sin 750° as,

• sin(180° – 750°) = sin(-570°)
• -sin(180° + 750°) = -sin 930°
• cos(ninety° – 750°) = cos(-660°)
• -cos(90° + 750°) = -cos 840°

☛ Also Cheque:

• sin 120 degrees
• sin 60 degrees
• sin 10 degrees
• sin 765 degrees
• sin 585 degrees
• sin 88 degrees

FAQs on Sin 750 Degrees

What is Sin 750 Degrees?

Sin 750 degrees is the value of sine trigonometric office for an angle equal to 750 degrees.


The value of sin 750° is 1/2 or 0.5.

How to Find the Value of Sin 750 Degrees?

The value of sin 750 degrees can exist calculated by constructing an bending of 750° with the x-axis, and then finding the coordinates of the corresponding betoken (0.866, 0.5) on the unit circle. The value of sin 750° is equal to the y-coordinate (0.5). ∴ sin 750° = 0.5.

How to Find Sin 750° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of sin 750° can be given in terms of other trigonometric functions equally:

• ± √(1-cos²(750°))
• ± tan 750°/√(1 + tan²(750°))
• ± i/√(i + cot²(750°))
• ± √(sec²(750°) – 1)/sec 750°
• 1/cosec 750°

☛ Too cheque: trigonometric table

What is the Value of Sin 750° in Terms of Sec 750°?

Since the sine function can be represented using the secant function, we can write sin 750° every bit √(sec²(750°) – i)/sec 750°. The value of sec 750° is equal to 1.154701.

What is the Value of Sin 750 Degrees in Terms of Tan 750°?

We know, using trig identities, nosotros can write sin 750° as tan 750°/√(i + tan²(750°)). Here, the value of tan 750° is equal to 0.577350.