Exploring Trigonometric Identities in IB Math

This video tutorial covers trigonometric identities, focusing on their application in IB math exams. It begins with an introduction to trig identities and a practical example using sine to relate to a triangle. The Pythagorean identity is then used to find cos theta, followed by an explanation of the tangent identity as sine over cos. The video concludes with an introduction to double angle formulas for sine and cos, emphasizing their importance in solving exam questions.

What is the value of sine theta in the given problem?

• 5/4

• 3/5

• 2/5

• 4/5

Tags

CCSS.HSF.TF.C.8

How do we find the value of cosine theta using trigonometric identities?

• Adding 1 to sine theta

• Dividing sine theta by 2

• Multiplying sine theta by 2

• Using the Pythagorean theorem

Tags

CCSS.HSF.TF.C.9

What is the formula to find cosine theta from sine theta?

• cos^2(theta) + sin^2(theta) = 1

• sin(theta) * cos(theta) = 1

• sin(theta) / cos(theta) = tan(theta)

• cos(theta) = 1 / sin(theta)

Tags

CCSS.HSF.TF.C.8

What is the value of cosine theta derived from the given sine theta?

• 3/5

• 4/5

• 5/3

• 2/5

Tags

CCSS.HSF.TF.C.8

What is the relationship between tangent theta and sine and cosine?

• tan(theta) = sin(theta) / cos(theta)

• tan(theta) = sin(theta) * cos(theta)

• tan(theta) = cos(theta) / sin(theta)

• tan(theta) = 1 / (sin(theta) * cos(theta))

Tags

CCSS.HSF.TF.C.8

What is the value of tangent theta in the given example?

• 4/3

• 3/4

• 5/3

• 3/5

Tags

CCSS.HSF.TF.A.2

What formula is used to find sine of 2 theta?

• sin(theta) / cos(theta)

• sin(theta)^2 - cos(theta)^2

• sin(theta) + cos(theta)

• 2 * sin(theta) * cos(theta)

Tags

CCSS.HSF.TF.C.9

What is the value of sine of 2 theta in the example?

• 24/25

• 4/5

• 25/24

• 3/5

Tags

CCSS.HSF.TF.C.9

Which of the following is not a method to find cos of 2 theta?

• Using sine theta only

• Using cosine theta only

• Using tangent theta only

• Using both sine and cosine theta

Tags

CCSS.HSF.TF.C.9

Why might we use the formula without cosine theta to find cos of 2 theta?

• When only sine theta is given

• When only cosine theta is given

• When both sine and cosine theta are given

• When neither sine nor cosine theta are given

Tags

CCSS.HSF.TF.C.9