How do you solve sin 105 degrees?

How do you solve sin 105 degrees?

Sin 105 degrees is the value of sine trigonometric function for an angle equal to 105 degrees. The value of sin 105° is (√6 + √2)/4 or 0.9659 (approx).

What is the half angle of COS 105?

cos 210o/2
We can also use the half angle formula for the cos 105o = cos 210o/2. However, when using the half angle formula, one needs to determine whether to take the positive or negative square root by looking at the quadrant where the angle lies. 105o is in the second quadrant, so the cosine is negative.

What is the exact value of cos 105?

-0.2588190
The value of cos 105 degrees is -0.2588190. . .. Cos 105 degrees in radians is written as cos (105° × π/180°), i.e., cos (7π/12) or cos (1.832595. . .).

How do you find the value of tan15?

Value of Tan 15

1. Tan (15°) can be found if we know the value of sin 15 degrees and cos 15 degrees.
2. From the above table, we have the values of tan, sin and cos ratios for 0°, 30°, 45°, 60° and 90°.
3. tan (15°) = √3 – 1/ √3 + 1.
4. Hence, the value of tan (15°) is √3 – 1/√3 + 1.
5. ∴ Tan (15°) = (1.732 – 1)/(1.732 + 1) = 0.2679.

What is cos of 105 in radians?

The value of cos 105 degrees is -0.2588190. . .. Cos 105 degrees in radians is written as cos (105° × π/180°), i.e., cos (7π/12) or cos (1.832595. . .).

What is sin(105) equal to?

You can put this solution on YOUR website! Find the exact value (no decimals) of sine of 105 degrees using the sum or difference formula. 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.

How to find the value of sin 75∘ using half angle?

1. Use the half angle formula to evaluate \\displaystyle { \\sin { {75}}^ {\\circ}} sin75∘. First Quadrant, so it’s positive. 2. Find the value of where 0° < α < 90°. We choose positive because we are in the first quadrant.

What is the formula for half angle sine?

Half Angle Formula – Sine. We start with the formula for the cosine of a double angle that we met in the last section. cos 2θ = 1− 2sin2 θ. We derive the following formulas on this page: `sin (alpha/2)=+-sqrt((1-cos alpha)/2`. `cos (alpha/2)=+-sqrt((1+cos alpha)/2`. `tan (alpha/2)=(1-cos alpha)/(sin alpha`.

What is the exact value of sin 45 sin 60 cos 60?

Apply the sum of angles identity. The exact value of sin(45) sin ( 45) is √2 2 2 2. The exact value of cos(60) cos ( 60) is 1 2 1 2. The exact value of cos(45) cos ( 45) is √2 2 2 2. 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.