Further trigonometric identities Quiz

1. Which expression equals $1+\tan^2x$?

• A. $\sec^2x$
• B. $\operatorname{cosec}^2x$
• C. $\cot^2x$
• D. $\sin^2x$

2. What is $\operatorname{cosec}^2\theta-\cot^2\theta$?

• A. $0$
• B. $-1$
• C. $1$
• D. $\sin^2\theta$

3. If $x$ is acute and $\tan x=2$, what is $\sec x$?

• A. $\frac{1}{\sqrt5}$
• B. $5$
• C. $3$
• D. $\sqrt5$

4. Simplify $(1-\cos^2x)(1+\tan^2x)$.

• A. $\sin^2x$
• B. $\tan^2x$
• C. $1$
• D. $\sec^2x$

5. If $\sec^2x=5$, what is $\tan^2x$?

• A. $6$
• B. $\frac14$
• C. $4$
• D. $25$