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

Level 1

This math topic focuses on evaluating the correctness of various trigonometric identities involving the tangent (tan) and secant (sec) functions. Each problem presents a trigonometric identity expressed in terms of either \(\tan^2(\theta)\), \(\sec^2(\theta)\), \(\sin^2(\theta)\), or \(\cos^2(\theta)\) and asks whether the identity is correct. The expressions use Greek symbols like \(\gamma\), \(\theta\), \(\beta\), and \(\alpha\). Students are expected to determine the truth value (true or false) of each identity, practicing their knowledge of trigonometric relationships and identities.

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 (Greek Letter) Worksheet

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