Sin 120 How to Derive Sin 120 Degrees value?
Combine sin(120)-cos(60) Step 1. Simplify each term. Tap for more steps. Step 1.1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Step 1.2. The exact value of is . Step 1.3. The exact value of is . Step 2. Combine the numerators over the common denominator.
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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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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.
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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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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;
【高校数学Ⅰ】sin60度は？sin cos tan の表と覚え方（計算方法・公式一覧） 学校よりわかりやすいサイト
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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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.
Cos 60 Degrees
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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According to formula, sin(a + b) = sinacosb + cosasinb. Applying it,we get, sinxcos(60) +cosxsin(60) +sinxcos(120) + cosxsin(120) or, sinx/2 + cosx × (√3)/2 −sinx/2 + cosx × (√3)/2. { ascos120 is −1/2 and sin120 is(√3)/2 } Thus,the expression comes out to be, 2 × (√3)/2 × cosx which is √3cosx, the R.H.S. Answer link.
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Use our sin(x) calculator to find the exact value of sine of 120 degrees - sin(120 °). Sin Cos Tan Deg to Rad Rad to Deg. Type a value like: 60, -30, pi/3, 3pi/2, etc. Angle: Calculator use. To use this calculator, just type a value for the angle, then press 'Calculate'. You may choose radians (rad) or degrees (°) as the angle unit.
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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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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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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.