ASTC with Recip

Front

What is the ASTC rule in trigonometry?

Back

The ASTC rule is a mnemonic that helps remember the signs of trigonometric functions in each quadrant: A (All positive) in Quadrant I, S (Sine positive) in Quadrant II, T (Tangent positive) in Quadrant III, and C (Cosine positive) in Quadrant IV.

Front

In which quadrants is csc(x) > 0?

Back

csc(x) > 0 in Quadrants I and II.

Front

In which quadrants is sec(x) > 0 and tan(x) > 0?

Back

sec(x) > 0 and tan(x) > 0 in Quadrant I.

Front

In which quadrants is tan(x) < 0?

Back

tan(x) < 0 in Quadrants II and IV.

Front

In which quadrants is cot(x) > 0?

Back

cot(x) > 0 in Quadrants I and III.

Front

In which quadrants is cos(x) > 0?

Back

cos(x) > 0 in Quadrants I and IV.

Front

What does the term 'quadrant' refer to in the context of the Cartesian plane?

Back

A quadrant is one of the four sections of the Cartesian plane, divided by the x-axis and y-axis.

Front

What is the relationship between sine and cosecant?

Back

The cosecant function is the reciprocal of the sine function: csc(x) = 1/sin(x).

Front

What is the relationship between cosine and secant?

Back

The secant function is the reciprocal of the cosine function: sec(x) = 1/cos(x).

Front

What is the relationship between tangent and cotangent?

Back

The cotangent function is the reciprocal of the tangent function: cot(x) = 1/tan(x).