Trigonometry, Quadrantal and Reference Angles

trigonometric
grade 11 "Oman "

the four Quadrant

• In Quadrant I both x and y are positive,

• in Quadrant II x is negative (y is still positive),

• in Quadrant III both x and y are negative, and

• in Quadrant IV x is positive again, and y is negative.

Multiple Choice

Quadrant IV

• Quadrant IV is where x < 0 and y > 0.
• Quadrant IV is where x > 0 and y < 0.

• Quadrant IV is where x > 0 and y > 0.

• Quadrant IV is where x < 0 and y < 0.

Multiple Choice

Quadrant I

• Bottom left section where both x and y are negative
• Top right section where both x and y are positive
• Bottom right section where x is positive and y is negative
• Top left section where x is negative and y is positive

Multiple Choice

Quadrant III

• Bottom left section where both x and y are negative
• Top right section where both x and y are positive
• Bottom right section where x is positive and y is negative
• Top left section where x is negative and y is positive

Multiple Choice

Quadrant II

• (x, y)
• (x, -y)
• (-x, -y)
• (-x, y)

• quadrant I (0<angle <90)

• Quadrant II ,(90<angle <180)

• in Quadrant III (180<angle <270)

• in Quadrant IV (270<angle <360)

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Multiple Choice

angles in 1st Quadrant

• Angles in the 1st Quadrant are between 0 and 90 degrees.
• Angles in the 1st Quadrant are between 90 and 180 degrees.
• Angles in the 1st Quadrant are between 180 and 270 degrees.
• Angles in the 1st Quadrant are between 270 and 360 degrees.

Multiple Choice

angles in 2nd Quadrant

• Angles in the 2nd quadrant range from 180 degrees to 270 degrees.
• Angles in the 2nd quadrant range from 0 degrees to 90 degrees.
• Angles in the 2nd quadrant range from 270 degrees to 360 degrees.
• Angles in the 2nd quadrant range from 90 degrees to 180 degrees.

Multiple Choice

angles in 3rd Quadrant

• Angles in the 3rd quadrant are between 90 degrees and 180 degrees.
• Angles in the 3rd quadrant are between 180 degrees and 270 degrees.
• Angles in the 3rd quadrant are between 270 degrees and 360 degrees.
• Angles in the 3rd quadrant are between 0 degrees and 90 degrees.

Multiple Choice

angle 120 degrees is in quadrant

• I
• II
• III
• IV

Multiple Choice

angle 200 degrees is in quadrant

• I
• II
• III
• IV

Multiple Choice

angle 100 degrees is in quadrant

• I
• II
• III
• IV

Multiple Choice

angle 190 degrees is in quadrant

• I
• II
• III
• IV

Multiple Choice

angle 290 degrees is in quadrant

• I
• II
• III
• IV

Sine, Cosine in the Four Quadrants

• All three of them are positive in Quadrant I

• Sine only is positive in Quadrant II

• Tangent only is positive in Quadrant III

• Cosine only is positive in Quadrant IV

Multiple Choice

Sine is positive in

• Second and fourth quadrants
• Third and fourth quadrants
• First and second quadrants
• First and third quadrants

Multiple Choice

cosine is positive in

• first and second quadrants
• second and third quadrants
• first and fourth quadrants
• third and fourth quadrants

Multiple Choice

Sine is negative in

• second and third quadrants
• first and second quadrants
• third and fourth quadrants
• first and fourth quadrants

Multiple Choice

Cosine is negative in

• first and second quadrants
• second and third quadrants
• first and fourth quadrants
• third and fourth quadrants