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# Eleventh Grade (Grade 11) Trigonometry Questions

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Grade 11 Trigonometry
Grade 11 Trigonometry
State the amplitude of the function $y=1/3cos(x-2)$:
1. $1/3$
2. $pi$
3. $-2$
4. $-pi$
5. none of these are correct
Grade 11 Trigonometry
Using SOH CAH TOA, what does the first part, SOH, stand for?
1. sine=adjacent/hypotenuse
2. sine=hypotenuse/opposite
3. sine=opposite/adjacent
4. sine=opposite/hypotenuse
Grade 11 Trigonometry
If $sin(theta)=24/25$ what is $csc(theta)?$
1. $25/24$
2. $7/24$
3. $24/3$
4. $25/7$
Grade 11 Trigonometry
In a 30-60-90 triangle, the short leg measures 8 cm. What is the length of the hypotenuse?
1. $16sqrt3 \ "cm"$
2. $24 \ "cm"$
3. $8sqrt2 \ "cm"$
4. $16 \ "cm"$
Grade 11 Trigonometry CCSS: HSF-TF.A.1
A circular pathway is created with a diameter of 20 feet. If the pathway makes an arc of $210deg$ how long is the pathway?
1. $210 \ "ft"$
2. $(7pi)/6$
3. $(35pi)/3 \ "ft"$
4. $35 \ "ft"$
Grade 11 Trigonometry
If the base graph of $y=cosx$ was stretched to an amplitude of 4 and a period of $3pi$, the new function would be:
1. $y=1/4 cos 3x$
2. $y=4+cos (3/2 x)$
3. $y=cos (3x-4)$
4. $y=4cos(2/3 x)$
5. none of these are correct
Grade 11 Trigonometry
Which of the following is not equivalent to $cos(pi/5)$?
1. $cos((-pi)/5)$
2. $cos((9pi)/5)$
3. $cos((4pi)/5)$
4. $cos((11pi)/5)$
Grade 11 Trigonometry
Convert 210 degrees into radians:
1. $(9pi)/2$
2. $(3pi)/8$
3. $(12)/(5pi)$
4. $(7pi)/6$
5. none of these are correct
Grade 11 Trigonometry
The period for the function $y=-4+2cot(1/3 x-pi)$ is equal to:
1. $pi$
2. $3pi$
3. $(9pi)/2$
4. $pi/3$
5. none of these are correct
Grade 11 Trigonometry
On the graph $y=sec (x-pi/4), x in [-pi,pi]$, the vertical asymptotes are located at $x=$
1. $pi and 2pi$
2. $-pi/2 and pi/2$
3. $-pi/4 and (3pi)/4$
4. $-(3pi)/2 and -pi/4$
5. none of these are correct
Grade 11 Trigonometry
Using SOH CAH TOA, what does CAH stand for?
1. cosine=opposite/hypotenuse
2. cosine=adjacent/opposite
3. cosine=opposite/adjacent
4. cosine=adjacent/hypotenuse
Grade 11 Trigonometry
Which expression is equivalent to $(sin2theta)/(1-cos2theta)$ ?
1. $sin theta$
2. $cot theta$
3. $csc theta$
4. $cos theta$
Grade 11 Trigonometry
Grade 11 Trigonometry CCSS: HSF-TF.A.1
Grade 11 Trigonometry
Grade 11 Trigonometry
What reference angle would be used to calculate the trig function values for $120deg$?
1. $0deg$
2. $30deg$
3. $45deg$
4. $60deg$
5. $90deg$
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