What is the exact value of sin 105?

What is the exact value of sin 105?

0.9659
The value of sin 105° is equal to the y-coordinate (0.9659). ∴ sin 105° = 0.9659.

What are sum and differences?

SUM – The sum is the result of adding two or more numbers. DIFFERENCE – The difference of two numbers is the result of subtracting these two numbers.

What are the trigonometric identities?

All the trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side.

How do you find the value of tan 105?

The value of tan 105 degrees in decimal is -3.732050807. . .. Tan 105 degrees can also be expressed using the equivalent of the given angle (105 degrees) in radians (1.83259 . . .) ⇒ 105 degrees = 105° × (π/180°) rad = 7π/12 or 1.8325 . . . ∴ tan 105° = tan(1.8325) = -2 – √3 or -3.7320508. . .

What is sin differentiation?

For example, the derivative of the sine function is written sin′(a) = cos(a), meaning that the rate of change of sin(x) at a particular angle x = a is given by the cosine of that angle.

How do you find the sum of differences?

Add and subtract the remaining numbers in the math problem. The sum will be the result of adding numbers, while the difference will be the result of subtracting them. For instance, in the math problem 4 + 3 – 5, the sum of 4 and 3 will be 7, and the difference between 7 and 5 will be 2.

What is the exact value of cos 105?

0.2588
The value of cos 105° is equal to the x-coordinate (-0.2588). ∴ cos 105° = -0.2588.

What is value of sin 120 degree?

Sin 120 degrees is the value of sine trigonometric function for an angle equal to 120 degrees. The value of sin 120° is √3/2 or 0.866 (approx).

What is Sinsin 105 equal to?

sin(105) is equal to sin(60 + 45). since you can find the exact sine and cosine values of 60 and 45 degrees, you can use this the sum formula to find the exact value of sine of 105.

What is the exact value of sin 45 sin 45?

Split 105 105 into two angles where the values of the six trigonometric functions are known. Apply the sum of angles identity. The exact value of sin(45) sin ( 45) is √2 2 2 2.

What is the exact value of sin 60?

The exact value of sin(60) sin ( 60) is √3 2 3 2. Simplify √2 2 ⋅ 1 2 + √2 2 ⋅ √3 2 2 2 ⋅ 1 2 + 2 2 ⋅ 3 2. Tap for more steps… Simplify each term.

What is sin 60 + 45 = 1/2?

let a be equal to 60 degrees. let b be equal to 45 degrees. sin (60 + 45) = sin (60) * cos (45) + cos (60) * sin (45). cos (60) is equal to 1/2. you’re good to go. just replace sin (60) with sqrt (3)/2 and replace cos (60) with 1/2 and replace sin (45) with sqrt (2)/2 and replace cos (45) with sqrt (2)/2 and solve.