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Trigonometry Identities - Tan^2 and Sec^2 Identity True/False (Radians)

Level 1

This topic focuses on verifying trigonometric identities involving \( \tan^2 \) and \( \sec^2 \) in radians. It specifically addresses if given expressions, involving these trigonometric functions, are true. Each question presents a trigonometric identity and asks whether it is correct, offering 'Yes' or 'No' as answer options. Additionally, it includes expressions related to Pythagorean identities in trigonometry, translated into angular arguments expressed in radians. This helps in reinforcing understanding of trigonometric identities and their applications in various problems.

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

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Trigonometry Identities - Tan^2 and Sec^2 Identity True/False (Radians) Worksheet

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Trigonometry Identities - Tan^2 and Sec^2 Identity True/False (Radian...
1
Is this pythagorean trig identity correct?
A LaTex expression showing \text{tan} to the power of 2 {(4Pi over 3 )} = \text{sin} to the power of 2 {(4Pi over 3 )} - \text{cos} to the power of 2 {(4Pi over 3 )}
a
Yes
b
No
2
A LaTex expression showing \text{cos} to the power of 2 {(4Pi over 3 )} = \frac{\text{sin} to the power of 2 {(4Pi over 3 )}}{\text{tan} to the power of 2 {(4Pi over 3 )}}
Is this pythagorean trig identity correct?
a
Yes
b
No
3
Is this pythagorean trig identity correct?
A LaTex expression showing \text{tan} to the power of 2 {(Pi over 4 )} = \text{sec} to the power of 2 {(Pi over 4 )} - 1
a
Yes
b
No
4
A LaTex expression showing \text{sin} to the power of 2 {(Pi over 4 )} = \frac{\text{cos} to the power of 2 {(Pi over 4 )}}{\text{tan} to the power of 2 {(Pi over 4 )}}
Is this pythagorean trig identity correct?
a
Yes
b
No
5
Is this pythagorean trig identity correct?
A LaTex expression showing \text{sec} to the power of 2 {(5Pi over 3 )} = \text{tan} to the power of 2 {(5Pi over 3 )} + 1
a
Yes
b
No
6
Is this pythagorean trig identity correct?
A LaTex expression showing \text{sin} to the power of 2 {(3Pi over 4 )} = \text{tan} to the power of 2 {(3Pi over 4 )} - \text{cos} to the power of 2 {(3Pi over 4 )}
a
Yes
b
No
7
A LaTex expression showing \text{tan} to the power of 2 {(2Pi over 3 )} = \frac{\text{cos} to the power of 2 {(2Pi over 3 )}}{\text{sin} to the power of 2 {(2Pi over 3 )}}
Is this pythagorean trig identity correct?
a
Yes
b
No
8
A LaTex expression showing \text{tan} to the power of 2 {(5Pi over 4 )} = \frac{\text{sin} to the power of 2 {(5Pi over 4 )}}{\text{cos} to the power of 2 {(5Pi over 4 )}}
Is this pythagorean trig identity correct?
a
Yes
b
No