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

In which quadrant is theta located?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

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

• 4

• √21

• 5

• 2

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

• Pythagorean Theorem

• Tangent Rule

• Cosine Rule

• Sine Rule

What is the value of x in the reference triangle?

• -5

• -√21

• √21

• 5

What is the value of cosine theta?

• -√21/5

• √21/5

• -5/√21

• 5/√21

What is the reciprocal of sine theta?

• Cotangent theta

• Cosecant theta

• Secant theta

• Tangent theta

What is the value of tangent theta?

• 2/√21

• -√21/2

• -2/√21

• √21/2

What is the rationalized form of the tangent function value?

• 2√21/21

• 21/2√21

• -2√21/21

• -21/2√21

What is the rationalized form of the secant function value?

• -21/5√21

• 21/5√21

• 5√21/21

• -5√21/21