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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 802196176

INSTITUTION NAME / LOGO

KCET Mathematics – Practice Worksheet

Trigonometric Functions · Class XI / First PUC

Check code: 802196176

Name: ___________________________________
Section: ________________
Date: ____________________

Question 1 Band 5 Application

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

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

Question 2 Band 3 Application

2. The domain of $\tan x$ excludes

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

Question 3 Band 2 Application

3. 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 4 Band 4 Application

4. If $\sin A=3/5,\cos A=4/5,\sin B=5/13,\cos B=12/13$, then $\sin(A+B)$ is

$63/65$
$33/65$
$16/65$
$56/65$

Question 5 Band 1 Foundational

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

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

Question 6 Band 2 Foundational

6. $\sin(-x)$ equals

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

Question 7 Band 6 Challenging

7. 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 8 Band 6 Foundational

8. The general solution of $\cos x=1$ is

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

Question 9 Band 2 Foundational

9. From the displayed unit circle, the sign of $\cos120^\circ$ is

positive
negative
zero
undefined

Question 10 Band 3 Application

10. $\sin390^\circ$ equals

$\sqrt3/2$
$-1/2$
$-\sqrt3/2$
$1/2$