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Is sin 2x equals 2 sin x cos x an identity?
YES!!!! Sin(2x) = Sin(x+x') Sin(x+x') = SinxCosx' + CosxSinx' I have put a 'dash' on an 'x' only to show its position in the identity. Both x & x' carry the same value. Hence SinxCosx' + CosxSinx' = Sinx Cos x + Sinx'Cosx => 2SinxCosx
What are five trigonometric identities?
All others can be derived from these and a little calculus: sin2x+cos2x=1 sec2x-tan2x=1 sin(a+b)=sin(a)cos(b)+sin(b)sin(a) cos(a+b)=cos(a)cos(b)-sin(a)sin(b) eix=cos(x)+i*sin(x)
In a triangle ABC b equals 15 cm and c equals 25 cm and also angle B equals 32'15'Find the side a and other angles?
By the sine rule, sin(C)/c = sin(B)/b so sin(C) = 25/15*sin(32d15m) = 0.8894 so C = 62.8 deg or 117.2 deg. Therefore, A = 180 - (B+C) = 85.0 deg or 30.5 deg and then, using the sine rule again, a/sin(A) = b/sin(B) so a = sin(A)*b/sin(B) = 28 or a = 14.3
Express cos4x sin3x in a series of sines of multiples of x?
The best way to answer this question is with the angle addition formulas. Sin(a + b) = sin(a)cos(b) + cos(a)sin(b) and cos(a + b) = cos(a)cos(b) - sin(a)sin(b). If you compute this repeatedly until you get sin(3x)cos(4x) = 3sin(x) - 28sin^3(x) + 56sin^5(x) - 32sin^7(x).
What are the formulas for law of sines and law of cosines?
sine: sin(A) sin(B) sin(C) cosines: a2=b2+c2-2bc cos(A).........----- = ----- = ------........,,,.a .......b........ ca is side BC A is angle A sin(A) means sine of angle Apsst, theres a law of tangents too, but its so complicated that im not gonna post it hereLaw of sine -A B C------ = ------ = ------Sin(a) Sin(b) Sin(c)
What is the value of a Winchester 1894 Serial?
1894 winchestre rifle sin 8161 approximate value
What is the value of Winchester 1894 serial?
1894 winchestre rifle sin 8161 approximate value
Is sin b equals 2.4 possible?
No. The absolute value of the sin function cannot exceed 1.
Law of sines In and 9651BCD d 3 b 5 and m and angD 25 and deg. What are the possible approximate measures of angle B only 90 and deg only 155 and deg 20 and deg and 110 and deg 45 and deg and 135 and?
To solve for angle B using the Law of Sines, we can set up the equation based on the given information. Given ( \angle D = 25^\circ ), side lengths ( d = 3 ), and ( b = 5 ), we can calculate ( \sin B ) using the formula: [ \frac{b}{\sin B} = \frac{d}{\sin D} ] This leads to: [ \sin B = \frac{b \cdot \sin D}{d} = \frac{5 \cdot \sin(25^\circ)}{3} ] Calculating this gives a value for ( \sin B ), which can yield two possible angles for B: one acute and one obtuse. Depending on the value of ( \sin B ), the possible measures of angle B can be 20°, 110°, or other angles that satisfy the sine function within the triangle's constraints. The possible measures of angle B are approximately 20° and 110°.
How do you find an angle when you know one other angle and two of the sides of a triangle?
If these two sides are opposite to these angles, and you know one of the angles, you can use the Law of Sines to find the other angle. For example, in the triangle ABC the side a is opposite to the angle A, and the side b is opposite to the angle B. If you know the lengths of these sides, a and b, and you know the measure of the angle B, then sin A/a = sin B/b multiply by a to both sides; sin A = asin B Use your calculator to find the value of arcsin(value of asin b), which is the measure of the angle A. So, Press 2ND, sin, value of asin B, ).
Is sin 2x equals 2 sin x cos x an identity?
YES!!!! Sin(2x) = Sin(x+x') Sin(x+x') = SinxCosx' + CosxSinx' I have put a 'dash' on an 'x' only to show its position in the identity. Both x & x' carry the same value. Hence SinxCosx' + CosxSinx' = Sinx Cos x + Sinx'Cosx => 2SinxCosx
What are five trigonometric identities?
All others can be derived from these and a little calculus: sin2x+cos2x=1 sec2x-tan2x=1 sin(a+b)=sin(a)cos(b)+sin(b)sin(a) cos(a+b)=cos(a)cos(b)-sin(a)sin(b) eix=cos(x)+i*sin(x)
Can you use the law of sines if 3 sides are given?
Yes, but you would need to know a degree measure too. [Sin(A)/a] = [Sin(B)/b] = [Sin(C)/c] [a/Sin(A)] = [b/Sin(B)] = [c/Sin(C)]
What is the approximate value of something?
The approximate value of something is an estimate.
What is the approximate value of 37?
The approximate value of 37 is 37.
How do you derived the sine law?
Consider any triangle ABC, and let AD be the altitude from A on to BC. Then sin(B) = AD/AB so that AD = AB*sin(B) and sin(C) = AD/AC so that AD = AC*sin(C) Therefore AB*sin(B) = AC*sin(C) or c*sin(B) = b*sin(C) where the lower case letter represents the side opposite the angle with the upper case name. Divide both sides by bc to give sin(B)/b = sin(C)/c. Similarly, using the altitude from B you can show that sin(A)/a = sin(C)/c. Combining with the previous result, sin(A)/a = sin(B)/b = sin(C)/c.
When abc are angles of a triangle prove sin2a sin2b sin2c4sinasinbsinc?
To prove that ( \sin^2 a \sin^2 b \sin^2 c = 4 \sin a \sin b \sin c ) for angles ( a, b, c ) of a triangle, we can use the identity ( a + b + c = 180^\circ ). The sine of angle ( c ) can be expressed as ( \sin c = \sin(180^\circ - (a + b)) = \sin(a + b) = \sin a \cos b + \cos a \sin b ). By substituting and manipulating these identities, we can derive the relationship, confirming the equality holds for the angles of a triangle.
