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Concept bands (optional — leave blank to draw from all)

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 242244498

INSTITUTION NAME / LOGO

KCET Mathematics – Practice Worksheet

Trigonometric Functions · Class XI / First PUC

Check code: 242244498

Name: ___________________________________
Section: ________________
Date: ____________________

Question 1 Band 2 Application

1. 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 2 Band 6 Challenging

2. The general solution of $\sin x=\sin\alpha$ is

$x=2n\pi\pm\alpha$
$x=n\pi+(-1)^n\alpha$
$x=2n\pi+\alpha$
$x=n\pi+\alpha$

Question 3 Band 2 Foundational

3. The value of $\sec^2x-\tan^2x$ is

$0$
$1$
$-1$
$2$

Question 4 Band 2 Foundational

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

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

Question 5 Band 6 Application

5. 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 6 Band 5 Application

6. If $\sin x=5/13$ and $\cos x=12/13$, then $\cos2x$ is

$144/169$
$119/169$
$-119/169$
$120/169$

Question 7 Band 3 Application

7. The displayed graph has range

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

Question 8 Band 4 Application

8. $\cos15^\circ$ equals

$1/2$
$(\sqrt6+\sqrt2)/4$
$(\sqrt6-\sqrt2)/4$
$\sqrt3/2$

Question 9 Band 1 Foundational

9. For $r=12$ cm and $\theta=\pi/4$, the arc length is

$4\pi$
$6\pi$
$2\pi$
$3\pi$

Question 10 Band 3 Foundational

10. The fundamental period of $\cos x$ is

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