Solving Trigonometric Equations

Sichamba Jacob introduces a trigonometry tutorial focused on solving the equation sin(θ) = 2/5. The video guides viewers through applying the sine inverse to both sides of the equation, using a calculator to find the angle, and understanding the role of quadrants in finding additional solutions. The tutorial emphasizes the mnemonic 'O Students Take Calculus' to remember quadrant properties. The video concludes with a call to action to like, comment, and subscribe.

What is the main topic discussed in the video?

• Exploring geometry

• Solving a trigonometric equation

• Learning calculus

• Understanding algebra

What is the given equation to solve in the video?

• cot θ = 2/5

• sine θ = 2/5

• tan θ = 2/5

• cos θ = 2/5

What mathematical operation is applied to both sides of the equation?

• Cosine inverse

• Sine inverse

• Tangent inverse

• Cotangent inverse

What is the first solution for θ in degrees?

• 90.0

• 60.0

• 45.0

• 23.6

Which mnemonic is suggested for remembering the quadrants?

• All Birds Fly South

• All Dogs Go To Heaven

• All Cats Take Naps

• All Students Take Calculus

In which quadrant is the first solution located?

• Fourth quadrant

• First quadrant

• Second quadrant

• Third quadrant

How is the second solution for θ calculated?

• By adding 90 degrees

• By subtracting from 180 degrees

• By multiplying by 2

• By dividing by 2

What is the second solution for θ in degrees?

• 120.0

• 156.4

• 150.0

• 90.0

What is the significance of the quadrants in trigonometry?

• They determine the sign of trigonometric functions

• They are irrelevant in trigonometry

• They help in solving algebraic equations

• They are used in calculus

What is the range of angles in the first quadrant?

• 90 to 180 degrees

• 180 to 270 degrees

• 270 to 360 degrees

• 0 to 90 degrees