What is sin θ?

Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse .
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What is the sin theta?

As per the sin theta formula, sin of an angle θ, in a right-angled triangle is equal to the ratio of opposite side and hypotenuse. The sine function is one of the important trigonometric functions apart from cos and tan.
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What does sin θ 0 mean?

The sin of an angle is based on a right triangle in standard position and is defined as the side opposite the angle divided by the hypotenuse. If sin(θ)=0 then the side opposite the angle θ must have a length of 0.
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For which angles θ is sin θ negative?

The sine ratio is y/r, and the hypotenuse r is always positive. So the sine will be negative when y is negative, which happens in the third and fourth quadrants.
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What is the formula for cos θ?

It can be abbreviated as Cos(θ) and looks like this: Cos(θ) = adjacent/hypotenuse. In other words, it takes the length of the adjacent side (the side next to the angle) and divides it by the length of the hypotenuse (the longest side of a right triangle).
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What is the Sine Function? | Don't Memorise



What is tan θ?

tan θ is also called as law of tangent. The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side. It can also be represented as a ratio of the sine of the angle to the cosine of the angle.
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Where is sine theta?

In a Right-angled triangle, the sine function or sine theta is defined as the ratio of the opposite side to the hypotenuse of the triangle. In a triangle, the Sine rule helps to relate the sides and angles of the triangle with its circumradius(R) i.e, a/SinA = b/SinB = c/SinC = 2R.
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What is the value of sin theta =- 1?

The value of sin 1 is 0.8414709848, in radian. In trigonometry, the complete trigonometric functions and formulas are based on three primary ratios, i.e., sine, cosine, and tangent in trigonometry.
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What is sin minus theta?

For any acute angle of θ, the functions of negative angles are: sin(-θ) = – sinθ cos (-θ) = cosθ
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What is sin in trigonometry?

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.
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What is the general solution of sin θ 0?

Therefore, General Solution of sinθ=0 is nπ
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Is sin theta equal to theta?

sin θ ≈ θ at about 0.2441 radians (13.99°) cos θ ≈ 1 − θ2/2 at about 0.6620 radians (37.93°)
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Why is sin theta 1?

Hence, the general solution of sin θ = 1 is θ = (4n + 1)π2, n ∈ Z. Therefore, either, 2 sin x + 3 = 0 ⇒ sin x = - 32, Which is impossible since the numerical value of sin x cannot be greater than 1. We know that the general solution of sin θ = 1 is θ = (4n + 1)π2, n ∈ Z.
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Why is sin (- theta )=- sin theta?

As we know, the angle (-x) lies in the 4th quadrant of a graph, and sine is negative in this quadrant. Hence, this shows that sin(-x) = -sin(x). What is sin theta? Sin theta of a right-angled triangle is equal to the ratio of the length of the opposite side to the length of the hypotenuse.
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In which quadrants is sin θ positive?

Quadrants and the "cast" Rule

In the first quadrant, the values for sin, cos and tan are positive. In the second quadrant, the values for sin are positive only. In the third quadrant, the values for tan are positive only. In the fourth quadrant, the values for cos are positive only.
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Can sin theta be less than 0?

Video Transcript. Determine the quadrant in which ? lies if cos ? is less than zero and sin ? is less than zero. Well, we can see that if both cos ? and sin ? are less than zero, then it means that both cos ? and sin ? are negative.
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Is Cos − θ the same as − cos θ?

It's the same number.
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What is sin inverse?

Sine inverse or arcsine is the inverse of sine function which returns the value of angle for which sine function is equal to opposite side and hypotenuse ratio. It generates the value of angle.
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Can sin θ or cos θ be greater than 1 Why or why not?

Therefore, from (A) we get the values of sin θ and cos θ cannot be greater than 1. Therefore, it is clearly seen that the values of csc θ and sec θ can never be less than 1. In this case, the values of PM may be greater or less or equal to the values of OM.
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Is the value of sin 45?

The exact value of Sin 45 degree in decimal form is 0.7071067812.
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