Trigonometric Functions in Quadrant Two

The video tutorial explains how to find trigonometric function values when sine theta equals two-fifths and theta is in quadrant two. It covers sketching the reference triangle, using the Pythagorean theorem to find x, and calculating sine, cosine, tangent, and their reciprocals. The tutorial also demonstrates rationalizing denominators for trigonometric values.

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

• 2/5

• 3/5

• 5/2

• 1/2

Tags

CCSS.HSF.TF.A.2

In which quadrant is theta located?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Tags

CCSS.HSF.TF.A.2

What is the value of the hypotenuse (r) in the reference triangle?

• 4

• √21

• 5

• 2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which theorem is used to find the value of x in the reference triangle?

• Pythagorean Theorem

• Tangent Rule

• Cosine Rule

• Sine Rule

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the value of x in the reference triangle?

• -5

• -√21

• √21

• 5

Tags

CCSS.HSF.TF.C.8

What is the value of cosine theta?

• -√21/5

• √21/5

• -5/√21

• 5/√21

Tags

CCSS.HSF.TF.A.2

What is the reciprocal of sine theta?

• Cotangent theta

• Cosecant theta

• Secant theta

• Tangent theta

Tags

CCSS.HSF.TF.A.2

What is the value of tangent theta?

• 2/√21

• -√21/2

• -2/√21

• √21/2

Tags

CCSS.HSF.TF.C.8

What is the rationalized form of the tangent function value?

• 2√21/21

• 21/2√21

• -2√21/21

• -21/2√21

Tags

CCSS.HSF.TF.C.8

What is the rationalized form of the secant function value?

• -21/5√21

• 21/5√21

• 5√21/21

• -5√21/21

Tags

CCSS.HSF.TF.C.8