Trigonometry Identities - Power Reducing Identity True/False (Degrees)

Level 1

This math topic focuses on validating trigonometric power reducing identities involving sine, cosine, and tangent functions, presented as true or false questions. Each problem shows an expression in degrees and asks if the depicted identity is correct, with two answer options: yes or no. This enables practice in understanding and verifying trigonometric identities specific to power reduction. The questions cover different angles and fundamentally test the accuracy of stated identities regarding the trigonometric functions at these angles.

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

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Trigonometry Identities - Power Reducing Identity True/False (Degrees) Worksheet

Trigonometry Identities - Power Reducing Identity True/False (Degrees)

Is this power reducing identity correct?

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

Yes

Is this power reducing identity correct?

$A LaTex expression showing \text{sin} to the power of 2 {(315 to the power of circle )} = \frac{1-\text{cos}(2 times 315 to the power of circle )}{2}$

Yes

Is this power reducing identity correct?

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

Yes

Is this power reducing identity correct?

$A LaTex expression showing \text{tan} to the power of 2 {(210 to the power of circle )} = \frac{1-\text{cos}(2 times 210 to the power of circle )}{1+\text{cos}(2 times 210 to the power of circle )}$

Yes

Is this power reducing identity correct?

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

Yes

Is this power reducing identity correct?

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

Yes

Is this power reducing identity correct?

$A LaTex expression showing \text{cos} to the power of 2 {(330 to the power of circle )} = \frac{1+\text{cos}(2 times 330 to the power of circle )}{2}$

Yes

Is this power reducing identity correct?

$A LaTex expression showing \text{tan} to the power of 2 {(330 to the power of circle )} = \frac{1-\text{cos}(2 times 330 to the power of circle )}{1+\text{cos}(2 times 330 to the power of circle )}$

Yes