Trigonometric Functions and Their Reciprocals

This video tutorial introduces the reciprocal trigonometric functions: secant (sec), cosecant (cosec), and cotangent (cot), which are the reciprocals of cosine, sine, and tangent, respectively. It explains how to calculate these functions using a calculator, graph their behaviors, and solve equations involving them. The video also highlights the patterns and asymptotes in their graphs and provides practical examples to reinforce understanding.

What is the reciprocal of cos theta known as?

• sec theta

• cosec theta

• cot theta

• tan theta

Which trigonometric function is the reciprocal of sine theta?

• cosec theta

• sec theta

• tan theta

• cot theta

What is the reciprocal of tan theta called?

• sin theta

• cot theta

• cosec theta

• sec theta

How can you remember which reciprocal function corresponds to cos, sin, and tan?

• By the first letter of the function

• By the last letter of the function

• By the second letter of the function

• By the third letter of the function

What is sec 40 equivalent to?

• 1 over cos 40

• 1 over tan 40

• cos 40

• 1 over sin 40

How do you calculate cosec 78 using a calculator?

• Type 1 over sin 78

• Type 1 over tan 78

• Type 1 over cos 78

• Type cosec 78 directly

What is the value of cot 1 radian?

• 1.28

• 1.31

• 1.02

• 0.642

What is sec 27 equivalent to?

• 1 over cos 27

• cos 27

• 1 over tan 27

• 1 over sin 27

How do you calculate cosec 0.5 radians?

• Type 1 over tan 0.5

• Type 1 over cos 0.5

• Type 1 over sin 0.5

• Type cosec 0.5 directly

What is the value of cot 38 degrees?

• 1.02

• 0.642

• 1.28

• 1.31