What is the exact value of the sine of 15 degrees?

What is the exact value of the sine of 15 degrees?

Value of Sin 15 in Decimal Since, we know, Sin 15° = (√3–1)/2√2.

What is the cosine of 15 degrees in radians?

0.9659258
The value of cos 15 degrees is 0.9659258. . .. Cos 15 degrees in radians is written as cos (15° × π/180°), i.e., cos (π/12) or cos (0.261799. . .).

What is the value of cot 15?

Cot 15 degrees is the value of cotangent trigonometric function for an angle equal to 15 degrees. The value of cot 15° is 2 + √3 or 3.7321 (approx).

What is the exact value of cos15?

Explanation: We can write that cos15˚=cos(60˚−45˚) . Hence, cos15˚=1+√32√2 .

What is the exact value of cosine 15?

Answer: The value of cos 15° = (√3+1)/2√2.

What is the exact value of sin75?

0.9659
What is Sin 75 Degrees? Sin 75 degrees is the value of sine trigonometric function for an angle equal to 75 degrees. The value of sin 75° is (√6 + √2)/4 or 0.9659 (approx).

What type of angle is 15 degrees?

acute angle
An acute angle is an angle that is more than 0° but less than 90°. Common examples of acute angles include: 15°, 30°, 45°, 60°, etc.

How do you construct a 15 degree angle?

Steps of Construction :

1. Draw a straight line AB.
2. With A as centre with convenient radius draw an arc which intersect AB at C.
3. With C as centre, with same radius, draw an arc which intersect at D. Now.
4. Construct AE, the bisector of ∠DAB. Join then, ∠EAB=300.
5. Construct AF, the bisector of ∠EAB. Join then, ∠FAB=150.

What is the value of sin 15 degrees?

Method 2: Another method to find the value of sin 15 degrees is given below: Sin 15° = Sin (45 – 30)°. We know, by trigonometric identities, Sin (A-B) = Sin A Cos B – Cos A Sin B. Therefore, Sin (45-30)° = Sin 45° cos 30° – cos 45° sin 30°.

How do you convert degrees to radians?

To convert degrees to radians, multiply by π 180° π 180 °, since a full circle is 360° 360 ° or 2π 2 π radians. Cancel the common factor of 15 15.

How do you write Sinsin 150 as a ratio?

Sin 150 can be written as Sin (450 – 300). The value can be determined by using the difference formula: Other trigonometric ratios of 150 can be determined using the relation of other trigonometric ratios with sine of angle 150.

How do you find Sin 15 with half angles?

To find the Sin 15 values, the concept of half angles is used. 150 can be written as 300/2. According to trigonometric formulas, Sin2 A + Cos2 A = 1.