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A · Angles and Radian Measure B · Unit Circle, Signs and Standard Values C · Domains, Ranges and Periodicity D · Compound Angles E · Multiple-Angle and Transformation Identities F · Trigonometric Equations

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Mode Balanced Questions 10 Difficulty Mixed Check code 870532667

INSTITUTION NAME / LOGO

KCET Mathematics – Practice Worksheet

Trigonometric Functions · Class XI / First PUC

Check code: 870532667

Name: ___________________________________
Section: ________________
Date: ____________________

Question 1 Band 6 Application

1. In $0\le x<2\pi$, $\tan x=-1$ has solutions

$5\pi/4,7\pi/4$
$3\pi/4,7\pi/4$
$\pi/4,5\pi/4$
$\pi/4,3\pi/4$

Question 2 Band 3 Application

2. The displayed graph has range

$\mathbb R$
$[0,1]$
$(-\infty,1]$
$[-1,1]$

Question 3 Band 5 Application

3. If $\tan x=1/2$, then $\tan2x$ is

$4/3$
$1$
$3/4$
$2$

Question 4 Band 4 Application

4. $\sin15^\circ$ equals

$(\sqrt6-\sqrt2)/4$
$(\sqrt6+\sqrt2)/4$
$\sqrt2/2$
$1/2$

Question 5 Band 1 Foundational

5. Convert $7\pi/6$ radians to degrees.

$210^\circ$
$240^\circ$
$150^\circ$
$180^\circ$

Question 6 Band 6 Foundational

6. The general solution of $\sin x=0$ is

$x=n\pi$
$x=2n\pi$
$x=(2n+1)\pi/2$
$x=n\pi+\pi/4$

Question 7 Band 3 Foundational

7. The fundamental period of $\tan x$ is

$\pi/2$
$\pi$
$2\pi$
$4\pi$

Question 8 Band 2 Application

8. The point on the unit circle at $150^\circ$ has coordinates

$(1/2,-\sqrt3/2)$
$(\sqrt3/2,1/2)$
$(-\sqrt3/2,1/2)$
$(-1/2,\sqrt3/2)$

Question 9 Band 2 Foundational

9. $\sin(-x)$ equals

$-\sin x$
$\cos x$
$-\cos x$
$\sin x$

Question 10 Band 2 Foundational

10. If $\cos x=12/13$ and $x$ is acute, then $\sin x$ is

$-5/13$
$5/13$
$12/5$
$13/5$