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How do you find sin 2x?

How do you find sin 2x?

The general formula of sin 2x is sin 2x = 2 sin x cos x = 2 (sin x cos2x)/(cos x) = 2 (sin x/cos x) (1/sec2x) = (2 tan x)/(1 + tan2x). This is sin 2x in terms of tan.

Does the sine rule work with obtuse angles?

The sine rule is also valid for obtuse-angled triangles. = for a triangle in which angle A is obtus. We can use the extended definition of the trigonometric functions to find the sine and cosine of the angles 0°, 90°, 180°. Hence the tangent of an obtuse angle is the negative of the tangent of its supplement.

What is the sine of an obtuse angle?

But the sine of an obtuse angle is the same as the sine of its supplement. That means sin ABC is the same as sin ABD, that is, they both equal h/c. Likewise, it doesn’t matter whether angle C is acute or obtuse, sin C = h/b in any case.

How do you convert sin 2x to sin x?

so that sin2x = 2 sin x cos x.

How do you calculate sin2theta on a calculator?

How to do Sin 2 on a calculator? that’s true, sin (x) 2 = (sin (x)) 2 if you are using a graphing calculator. In most scientific calculators, you type x first, press the sine key, then press the square key.

What is sin 2x equivalent to?

Sin 2x formula is 2sinxcosx.

What is the difference equation of sin 2x?

Answer: The differentiation of sin(2x) gives 2cos(2x).

How do you solve an obtuse angle?

To find if a triangle is obtuse, we can look at the angles mentioned. If one angle is greater than 90° and the other two angles are lesser along with their sum being lesser than 90°, we can say that the triangle is an obtuse triangle. For example, ΔABC has these angle measures ∠A = 120°, ∠A = 40°, ∠A = 20°.

Which is the sine of an obtuse angle?

The sine of an obtuse angle is defined to be the sine of its supplement.

Which is the easiest way to find Sin A + B?

The easiest way to find sin (A + B), uses the geometrical construction shown here. The big angle, (A + B), consists of two smaller ones, A and B, The construction (1) shows that the opposite side is made of two parts. The lower part, divided by the line between the angles (2), is sin A.

How to determine the sine and cosine of an angle?

If the sine or cosine of the angle α and β are known, then the value of sin⁡ ( α + β) and cos⁡ ( α + β) can be determined without having to determine the angle α and β. Consider the following examples. b. The problem in b is almost same with problem in a, the different lies on angle α, in a: α is acute angle whereas in b: α is obtuse angle.

Which is the formula for the law of sines?

cosx cosy= 2sin. x+y 2. sin. x y 2. The Law of Sines sinA a = sinB b = sinC c Suppose you are given two sides, a;band the angle Aopposite the side A. The height of the triangle is h= bsinA.