The value of Sin 2π/7+sin4π/7+sin8π/7 is a)√7/8 b) 1/8 c) √7/2 d)√7/2
Sin 15 Degrees Exact Value. Since we know that 15 is half of 30, we can plug 30∘ in as θ and simplify: Web find the exact value sin(105) step 1.
Split 15 15 into two angles where the values of the six trigonometric functions are known. Sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) the exact value of sin(30) sin ( 30) is 1 2 1 2. Since we know that 15 is half of 30, we can plug 30∘ in as θ and simplify: Or see slightly more advanced method to remove nested root (at. = √ 1 − √3 2 2. (sin p/2 + cos p/2) 2 = sin 2 p/2 + cos 2 p/2 +2sin p/2cos p/2 = 1 + sinp. The exact value of cos(30) cos ( 30) is √3 2 3 2. Apply the reference angleby finding the anglewith equivalenttrig values in the first quadrant. = √ 2 − √3 4. Thus, sin 15° = 0.2588.
Web this video works to determine the exact value for the sine of 15 degrees in two different ways: Sin(15∘) = sin(30∘ 2) = √ 1 − cos(30∘) 2. Sin(θ 2) = √ 1 − cosx 2. (sin p/2 + cos p/2) 2 = sin 2 p/2 + cos 2 p/2 +2sin p/2cos p/2 = 1 + sinp. Split into two angleswhere the values of the six trigonometric functionsare known. Apply the difference of angles identity. The exact value of is. Web how to find the value of sin 15 degree? The exact value of sin(45) sin ( 45) is √2 2 2 2. Sin(30)cos(45)+cos(30)sin(45) sin ( 30) cos ( 45) + cos ( 30) sin ( 45) the exact value of sin(30) sin ( 30) is 1 2 1 2. Web this video works to determine the exact value for the sine of 15 degrees in two different ways: