Trigonometric Identities and Functions

The video tutorial discusses a complex trigonometric identity, emphasizing the importance of factorization over expansion. It provides strategies for simplifying identities and solving equations under exam conditions. The tutorial also covers solving trigonometric equations with specific conditions, using identities and periodic properties.

What is the initial reaction to the trigonometric identity discussed in the video?

• It looks simple and straightforward.

• It appears complex due to the cube.

• It is immediately recognizable.

• It seems unrelated to trigonometry.

What is the suggested method to simplify the trigonometric identity?

• Expanding the cube

• Using the difference of squares

• Applying the quadratic formula

• Ignoring the identity

Which identity is used to simplify the expression to get a '1' in the denominator?

• Reciprocal identity

• Sum of angles identity

• Double angle identity

• Pythagorean identity

What should you do if a question doesn't become clear within 10 seconds during an exam?

• Guess the answer

• Ask for help

• Spend more time on it

• Skip it and return later

In which quadrant is the angle located if cos(a) is negative and tan(a) is positive?

• Third quadrant

• Fourth quadrant

• First quadrant

• Second quadrant

What is the most efficient way to solve the equation 4 cos(a) + 3 = 0?

• Graph the equation

• Apply the cosine rule

• Use the sine rule

• Make cos(a) the subject

How is the triangle drawn to solve the trigonometric equation?

• Using the sine and cosine values

• Using the tangent and cotangent values

• Using the adjacent and hypotenuse

• Using the opposite and hypotenuse

What is the periodicity of the tangent function?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the result of tan(a - 180)?

• 1

• tan(a)

• tan(-a)

• 0

What is the final step to find tan(a) from the triangle?

• Divide opposite by hypotenuse

• Divide hypotenuse by adjacent

• Divide adjacent by hypotenuse

• Divide opposite by adjacent