Trigonometric Functions and Ratios

This video tutorial covers trigonometric ratios, focusing on deriving all six ratios from a given cosine value using a right-angle triangle. The instructor explains the Pythagorean Theorem to find the missing side and calculates sine, tangent, cotangent, secant, and cosecant. The video concludes with practice recommendations.

What is the main topic discussed in this video?

• Trigonometric equations

• Trigonometric identities

• Trigonometric functions

• Trigonometric ratios

If cos(α) = 8/17, what is the first step to find the other trigonometric ratios?

• Use the sine rule

• Draw a right-angled triangle

• Use the cosine rule

• Apply the tangent formula

In a right-angled triangle, what does the cosine of an angle represent?

• Adjacent side over hypotenuse

• Opposite side over hypotenuse

• Opposite side over adjacent side

• Hypotenuse over adjacent side

What is the length of the hypotenuse in the given problem?

• 15 cm

• 8 cm

• 17 cm

• 20 cm

Which theorem is used to find the missing side of the triangle?

• Tangent rule

• Sine rule

• Cosine rule

• Pythagorean theorem

What is the formula for the Pythagorean theorem?

• a² - b² = c²

• a² + c² = b²

• a² + b² = c²

• a² = b² + c²

What is the length of the perpendicular side in the triangle?

• 15 cm

• 20 cm

• 8 cm

• 17 cm

What is the value of sin(α) in the given problem?

• 8/17

• 17/15

• 15/17

• 8/15

How is tan(α) calculated in this problem?

• Base over hypotenuse

• Hypotenuse over base

• Perpendicular over base

• Base over perpendicular

What is the value of tan(α) in the problem?

• 17/8

• 8/17

• 15/8

• 8/15