Sine and Cosine Functions Concepts

The video tutorial covers solving inequalities and understanding the unit circle in trigonometry. It introduces the mnemonic ASTC to remember the signs of trigonometric functions in different quadrants. The tutorial explains how to solve trigonometric equations using base angles and verify solutions using a calculator.

What does it mean when x is greater than 7?

• x is exactly 7

• x can be any number greater than 7

• x can be any number less than 7

• x is between 0 and 7

What does the mnemonic 'All Stations To Central' help you remember?

• The names of the planets in the solar system

• The steps to solve a quadratic equation

• The sequence of trigonometric functions in quadrants

• The order of operations in algebra

In which quadrant is cosine positive?

• Third and fourth

• First and second

• Second and third

• First and fourth

Where is sine positive on the unit circle?

• First and fourth quadrants

• Third and fourth quadrants

• Second and third quadrants

• First and second quadrants

What is the base angle for sine x = 1/2?

• 60 degrees

• 30 degrees

• 45 degrees

• 90 degrees

How do you find the obtuse angle for sine x = 1/2?

• Add 30 degrees to 90

• Subtract 30 degrees from 180

• Multiply 30 degrees by 2

• Divide 180 by 30

What is the sine of 150 degrees?

• 0

• 1

• 0.5

• -0.5

What is the primary function of a calculator in trigonometry?

• To find trigonometric values

• To memorize mnemonics

• To solve inequalities

• To draw unit circles

What is the sine inverse of 0.5?

• 60 degrees

• 45 degrees

• 30 degrees

• 90 degrees

Why are sine and cosine considered functions?

• They are used to solve quadratic equations

• They only work with integers

• They are not numbers but operations applied to angles

• They are always positive