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That follows from the definition of the sine function. There are several equivalent definitions, but for example, it can be defined as the y-coordinate of the unit circle, as a function of the angle. You start measuring the circle from coordinates (1,0), and continue counterclockwise.
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This is because both sin definition is the length of line opposite to the angle divided by the angle side line. Since both lines are positive in the first quadrant, the sin value is positive.
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Is the 1st quadrant negative or positive?
1st quadrant is +x and +y.
How could you tell if tan is negative or positive in a quadrant Example in quadrant II cos - and sin is plus but what is tan?
There's a mnemonic for this: All Students Take Calculus. Starting in the first quadrant, and moving counterclockwise until the last, give each quadrant the first letter of thos words in order. A represents all 3, s represents sine, t represents tangent, and c represents cosine. If the letter appears in a quadrant, it is positive there. If not, it is negative there.In quadrant 2, only sine is positive.
What are the coordinates of a point that could be in each of the four quadrants?
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
Which Quadrant has positive x and y- coordinates?
That's Quadrant - I .
What is a quadrant 1?
Quadrant one is the upper right quadrant, or where both X and Y are positive.
Tan equals 0.3421 sin equals 0.3237 Which quadrant does it terminate?
The value of tan and sin is positive so you must search quadrant that tan and sin value is positive. The only quadrant fill that qualification is Quadrant 1.
Which quadrant would an answer be in if tan was positive and sin was negative?
The third quadrant.
Is the 1st quadrant negative or positive?
1st quadrant is +x and +y.
Why is the tangent positive on quadrant III?
The tangent function is equal to the sine divided by the cosine. In quadrant III, both sin and cos are negative - and a negative divided by another negative is positive. Thus it follows that the tangent is positive in QIII.
If costheta -.444 with theta in quadrant 2 find sintheta?
Since theta is in the second quadrant, sin(theta) is positive. sin2(theta) = 1 - cos2(theta) = 0.803 So sin(theta) = +sqrt(0.803) = 0.896.
What are the x and y for each quadrant on a graph?
Quadrant I: x positive, y positive. Quadrant II: x negative, y positive. Quadrant III: x negative, y negative. Quadrant II: x positive, y negative.
How could you tell if tan is negative or positive in a quadrant Example in quadrant II cos - and sin is plus but what is tan?
There's a mnemonic for this: All Students Take Calculus. Starting in the first quadrant, and moving counterclockwise until the last, give each quadrant the first letter of thos words in order. A represents all 3, s represents sine, t represents tangent, and c represents cosine. If the letter appears in a quadrant, it is positive there. If not, it is negative there.In quadrant 2, only sine is positive.
Tan equals 0.3421 sin equals 3237 Which quadrant does it terminate?
Assuming sin equals 0.3237, the angle is in quadrant I.
What are the coordinates of a point that could be in each of the four quadrants?
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
What is the quadrant with positive x and y coordinates?
That would be Quadrant I
Which Quadrant has positive x and y- coordinates?
That's Quadrant - I .
What are the signs of the coordinate in every quadrant?
Quadrant I: Top Right: x positive, y positive Quadrant II: Top Left: x negative, y positive Quadrant III: Bottom Left: x negative, y negative Quadrant IV: Bottom Right: x positive, y negative
