Trigonometry Concepts and Problem Solving

The video tutorial by Joelle Singh on Math World covers solving multiple-choice questions from the chapter 'Introduction to Trigonometry'. It begins with an introduction to the topic and proceeds to solve various trigonometry questions, explaining the logic and formulas behind each solution. The tutorial emphasizes understanding complementary angles and their relationships, providing a step-by-step approach to solving problems. The session concludes with a focus on finding numerical values for trigonometric functions and encourages viewers to practice for better understanding.

What is the first step in solving MCQ questions on trigonometry?

• Memorize all trigonometric formulas

• Understand the question thoroughly

• Guess the answer

• Skip the question

If cosec 18° is equal to sec A, what is the measure of angle A?

• 18°

• 162°

• 36°

• 72°

What is the complementary angle of 18°?

• 108°

• 162°

• 90°

• 72°

Which trigonometric function is the complement of sine?

• Secant

• Cosine

• Cosecant

• Tangent

What is the relationship between sine and cosine for complementary angles?

• Sine equals cosine of the complementary angle

• Sine is the square of cosine

• Sine equals cosine of the same angle

• Sine is the reciprocal of cosine

How can tan θ be expressed in terms of cot?

• tan θ = cot (90° - θ)

• tan θ = cot (θ - 90°)

• tan θ = 1/cot θ

• tan θ = cot θ

What is the value of θ if tan θ = cot 23°?

• 113°

• 90°

• 67°

• 23°

In a right triangle, if the opposite side is 4m and the hypotenuse is 8m, what is the angle with the ground?

• 90°

• 60°

• 30°

• 45°

What is the result of cos 27° - sin 63°?

• 0

• 1

• 3

• 2

If sin 6x = cos 3x, what is the value of x?

• 16

• 15

• 10

• 9