Twelfth Grade (Grade 12) Trigonometry Questions for Tests and Worksheets

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Grade 12 Trigonometry CCSS: HSF-TF.A.3

What is the value of

$sin (pi/6)$ ?

$-1/2$
$sqrt2/2$
$sqrt3/2$
$1/2$

Grade 12 Trigonometry

Which of the following best describes the values of the function

$f(x)=3cosx+2 ?$

Always positive
Always negative
Mostly positive
Mostly negative
Equally positive and negative

Grade 12 Trigonometry

$sintheta>0$ and

$costheta<0$ , where is

$theta$ located?

Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Grade 12 Trigonometry CCSS: HSF-TF.A.2

The terminal side of an angle measuring

$(-2pi)/3$ radians lies in which quadrant?

Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Grade 12 Trigonometry

Evaluate.

$cot (pi/2)$

$sqrt2/2$
$1$
$0$
none of the above

Grade 12 Trigonometry

The maximum value of the function

$f(x)=3 tan(x+2) -1$ is 2.

True
False

Grade 12 Trigonometry CCSS: HSF-TF.A.2

What is the reference angle for 210°?

30°
45°
150°
none of the above

Grade 12 Trigonometry CCSS: HSF-TF.A.2

$deg$ is the reference angle for which of these degree values?

Grade 12 Trigonometry CCSS: HSF-TF.C.9

This question is a part of a group with common instructions. View group »

What are some of the implicit restrictions in the above proof? Choose all correct answers.

$0 < theta+alpha < pi$ , where $theta,alpha$ must both be positive real numbers.
$0 < theta+alpha < pi/2$ , where $theta, alpha$ must both be positive real numbers.
$Delta ABC$ cannot be a right triangle.
$ang BAC$ and $angBCA$ must both be acute angles.

Grade 12 Trigonometry

$costheta = 20/29$ , then what is

$csctheta$ ?

$29/20$
$21/29$
$29/21$
$20/21$

Grade 12 Trigonometry CCSS: HSF-TF.A.3

What is the value of

$sin ((5pi)/2)$ ?

$-sqrt3/2$
$sqrt2/2$
$1$
$0$

Grade 12 Trigonometry CCSS: HSF-TF.A.2

What is the reference angle for

$(5pi)/6$ ?

$pi/6$
$pi/3$
$2pi/6$
$2pi/3$

Grade 12 Trigonometry

The amplitude of a sine wave can be described as the magnitude of the difference in values between the Midline and the Minimum or Maximum .

Grade 12 Trigonometry

The principal value of

$sin^-1(sin{ (2π)/3})$ is which of the following?

$- (2 pi)/3$
$(2 pi)/3$
$(4 pi)/3$
None of the above

Grade 12 Trigonometry

Simplify the following.

$(sec^2 theta-1)/sin^2theta$

$sin theta$
$tan^2 theta$
$sec^2 theta$
none of the above

Grade 12 Trigonometry CCSS: HSF-TF.A.3

What is the value of

$tan ((5pi)/4)$ ?

$-sqrt3/2$
$sqrt2/2$
$1$
$0$

Grade 12 Trigonometry CCSS: HSF-TF.C.9

This question is a part of a group with common instructions. View group »

What is the missing reason in step 10?

SAS postulate of congruence
Definition of right triangles
HL postulate of congruence
Pythagorean Theorem

Grade 12 Trigonometry CCSS: HSG-SRT.C.8

A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? How far from the wall is the base of the ladder? Round your answers to two decimal places, as needed.

Grade 12 Trigonometry CCSS: HSG-SRT.C.8

A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above the ground. What is the approximate angle that the ladder makes with the ground?

Grade 12 Trigonometry CCSS: HSG-SRT.C.8

A private plane flies 1.3 hours at 110 mph on a bearing of 40°. Then it turns and continues another 1.5 hours at the same speed, but on a bearing of 130°. At the end of this time, how far is the plane from its starting point? What is its bearing from that starting point?

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Twelfth Grade (Grade 12) Trigonometry Questions