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Cos 75 degrees is the value of cosine trigonometric function for an angle equal to 75 degrees. Understand methods to find the value of cos 75 degrees with examples and FAQs.
Find the value of cos 75 °. cos 75 ° = cos 45 + 30 ° ⇒ cos 75 ° = cos 45 ° cos 30 °-sin 45 ° sin 30 ° ∵ cos A + B = cos A cos B-sin A sin B ⇒ cos 75 ° = 1 2 3 2-1 2 1 2 ∵ cos 45 ° = 1 2, cos 30 ° = 3 2, sin 45 ° = 1 2, sin 30 ° = 1 2 ⇒ cos 75 ° = 3 2 2-1 2 2 ⇒ cos 75 ° = 3-1 2 2. Hence, the value of cos 75 ° is 3-1 2 2.
Split 75 75 into two angles where the values of the six trigonometric functions are known. cos(30+45) cos (30 + 45) Apply the sum of angles identity cos(x+y) = cos(x)cos(y)−sin(x)sin(y) cos (x + y) = cos (x) cos (y) - sin (x) sin (y). cos(30)cos(45)−sin(30)sin(45) cos (30) cos (45) - sin (30) sin (45)
Use our cos(x) calculator to find the cosine of 75 degrees - cos(75 °) - or the cosine of any angle in degrees and in radians.
This video works out the exact value for the cosine of 75 degrees (cos75) in two different ways, using the sum identity for cosine and the half-angle identit...
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