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.
1st quadrant is +x and +y.
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.
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
There are four quadrants on a coordinate graph. They are labeled as Quadrant I, Quadrant II, Quadrant III, and Quadrant IV, each representing different combinations of positive and negative values for the x and y coordinates. Quadrant I has both coordinates positive, Quadrant II has a negative x and positive y, Quadrant III has both negative coordinates, and Quadrant IV has a positive x and negative y.
That's Quadrant - I .
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.
The third quadrant.
1st quadrant is +x and +y.
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.
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.
Quadrant I: x positive, y positive. Quadrant II: x negative, y positive. Quadrant III: x negative, y negative. Quadrant II: x positive, y negative.
Assuming sin equals 0.3237, the angle is in quadrant I.
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.
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
That would be Quadrant I
That's Quadrant - I .
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