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Answer to: Find the exact value of the expression. sin 120 cos 60 - cos 120 sin 60 By signing up, you'll get thousands of step-by-step solutions.
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Another method to derive the value of sineo 120 degrees is by using cosine functions. With the help of the trigonometry formula, sino (90 + a) = coso a ,we can determine sin 120 exact value. As we know, sino (90° + 30°) = sino 120 degrees. Hence, sin 120 degree = cos 30°. As we know the value of cos 30° is equal to.
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Explanation: For sin 120 degrees, the angle 120° lies between 90° and 180° (Second Quadrant ). Since sine function is positive in the second quadrant, thus sin 120° value = √3/2 or 0.8660254. . . Since the sine function is a periodic function, we can represent sin 120° as, sin 120 degrees = sin (120° + n × 360°), n ∈ Z.
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Question: Find the exact value of the expression sin(120) cos(60) − cos(120) sin(60) Find the exact value of the expression sin(120) cos(60) − cos(120) sin(60) Here's the best way to solve it. Who are the experts? Experts have been vetted by Chegg as specialists in this subject.
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Trigonometry is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical.
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Jane. Remember the formula cos(180 − θ) = − cosθ for shorter approach. cos 120 = cos (180-60) = cos 180 cos 60 + sin 180 sin 60 (using the formula, cos (a+b)=cos a cos b+sin a sin b Now,we know, cos 180=-1,cos 60=1/2,sin 180=0,sin 60= (sqrt (3))/2 So,putting the value,we get, cos 120=-1× (1/2) + 0× (sqrt (3))/2=-1/2=-cos 60 Remember the.
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The value of sin 120∘cos 60∘+cos 120∘sin 60∘ is equal to. Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; NCERT Solutions For Class 12 Biology; NCERT Solutions For Class 12 Maths;
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0° 30° 45° 60° 90° 120° 135° 150° 180° 210° 225° 240° 270° 300° 315° 330° 360°. Keywords: Trigonometric Values of Special Angles. Trigonometry. Law of Sines. Law of Cosines. Trigonometric identities of double angles. Trygonometry Identities of same angle. Trigonometric identities of half angles.
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Sin ( 180°- 120°) = sin 120° Therefore, sin 120°= sin 60° From the trigonometry table, use the value of sin 60° which is equal to √3/2. Hence, the value of sin 120 degrees is √3/2. Method 2. By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a.
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The value of cos 120 is minus half which can be written as -1/2 or -0.5. there are two ways through which the value of cos 120 can be calculated, they are as follows-. Case 1: Let us express 120⁰ as (180 - 60)⁰. cos 120⁰ = cos (180 - 60)⁰. Since, cos (180⁰ - x) = - cos x. Therefore, cos (180 - 60)⁰ = - cos 60⁰.
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What is the value of sin (120)cos (60)-cos (120)sin (60) ? The value of sin (120)cos (60)-cos (120)sin (60) is (sqrt (3))/2.