Trigonometry Identities - Half Angle Identity True/False (Degrees)

Level 1

This math topic focuses on evaluating and verifying trigonometric half-angle identities using degrees. Students are asked to decide if given identities are correct. The tasks aim to enhance understanding of trigonometric functions like sine, cosine, and tangent at half angles. Each question presents a trigonometric expression for angles such as 30°, 240°, 45°, 315°, and 60°, and requires verification of the identity's accuracy. This is an introductory level practice within a broader unit on trigonometric identities.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonometry Identities - Half Angle Identity True/False (Degrees) Worksheet

Trigonometry Identities - Half Angle Identity True/False (Degrees)

$A LaTex expression showing \text{tan}{(\frac{30 to the power of circle }{2})} = \frac{\text{sin}(30 to the power of circle )}{1+\text{cos}(30 to the power of circle )}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{tan}{(\frac{30 to the power of circle }{2})} = \frac{1+\text{cos}(30 to the power of circle )}{1+\text{sin}(30 to the power of circle )}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{sin}{(\frac{240 to the power of circle }{2})} = \pmsquare root of \frac{1+\text{cos(240 to the power of circle )}{1-\text{cos}(240 to the power of circle }}$

Is this half-angle identity correct?

Yes

$A LaTex expression showing \text{cos}{(\frac{45 to the power of circle }{2})} = \pmsquare root of \frac{1+\text{cos(45 to the power of circle )}{1-\text{cos}(45 to the power of circle }}$

Is this half-angle identity correct?

Yes

Is this half-angle identity correct?

$A LaTex expression showing \text{cos}{(\frac{315 to the power of circle }{2})} = \pmsquare root of \frac{1+\text{cos(315 to the power of circle )}{2}}$

Yes

Is this half-angle identity correct?

$A LaTex expression showing \text{sin}{(\frac{240 to the power of circle }{2})} = \pmsquare root of \frac{1-\text{cos(240 to the power of circle )}{2}}$

Yes

Is this half-angle identity correct?

$A LaTex expression showing \text{cos}{(\frac{60 to the power of circle }{2})} = \pmsquare root of \frac{1+\text{cos(60 to the power of circle )}{2}}$

Yes

Is this half-angle identity correct?

$A LaTex expression showing \text{cos}{(\frac{150 to the power of circle }{2})} = \pmsquare root of \frac{1+\text{sin(150 to the power of circle )}{2}}$

Yes