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

Level 1

This math topic focuses on examining the correctness of Pythagorean trigonometric identities involving tangent squared (\(\tan^2\)) and secant squared (\(\sec^2\)). The problems require distinguishing whether given identities, such as \(\tan^2(θ) = \sec^2(θ) - 1\) or \(\cos^2(θ) = \sin^2(θ)/\tan^2(θ)\), are accurate. Each problem presents a trigonometric equation and asks if these are valid identities, with answers formatted in a true/false (yes/no) style. The questions cover various angles and employ algebraic manipulations of trigonometric functions to test understanding of fundamental trigonometric identities.

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

more

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

Mobius Math Academy logo
Trigonometry Identities - Tan^2 and Sec^2 Identity True/False (Degree...
1
A LaTex expression showing \text{cos} to the power of 2 {(315 to the power of circle )} = \frac{\text{tan} to the power of 2 {(315 to the power of circle )}}{\text{sin} to the power of 2 {(315 to the power of circle )}}
Is this pythagorean trig identity correct?
a
Yes
b
No
2
Is this pythagorean trig identity correct?
A LaTex expression showing \text{tan} to the power of 2 {(240 to the power of circle )} = \text{csc} to the power of 2 {(240 to the power of circle )} - 1
a
Yes
b
No
3
A LaTex expression showing \text{cos} to the power of 2 {(330 to the power of circle )} = \frac{\text{sin} to the power of 2 {(330 to the power of circle )}}{\text{tan} to the power of 2 {(330 to the power of circle )}}
Is this pythagorean trig identity correct?
a
Yes
b
No
4
Is this pythagorean trig identity correct?
A LaTex expression showing \text{tan} to the power of 2 {(45 to the power of circle )} = \text{csc} to the power of 2 {(45 to the power of circle )} - 1
a
Yes
b
No
5
Is this pythagorean trig identity correct?
A LaTex expression showing \text{sin} to the power of 2 {(120 to the power of circle )} = \text{tan} to the power of 2 {(120 to the power of circle )} - \text{cos} to the power of 2 {(120 to the power of circle )}
a
Yes
b
No
6
Is this pythagorean trig identity correct?
A LaTex expression showing \text{sec} to the power of 2 {(210 to the power of circle )} = 1 - \text{tan} to the power of 2 {(210 to the power of circle )}
a
Yes
b
No
7
A LaTex expression showing \text{tan} to the power of 2 {(60 to the power of circle )} = \frac{\text{cos} to the power of 2 {(60 to the power of circle )}}{\text{sin} to the power of 2 {(60 to the power of circle )}}
Is this pythagorean trig identity correct?
a
Yes
b
No
8
Is this pythagorean trig identity correct?
A LaTex expression showing \text{tan} to the power of 2 {(30 to the power of circle )} = \text{sin} to the power of 2 {(30 to the power of circle )} - \text{cos} to the power of 2 {(30 to the power of circle )}
a
Yes
b
No