NJSLA Algebra II Trigonometric Functions. Practice it free.

Extend the domain of trigonometric functions using the unit circle and model periodic phenomena. This Algebra II reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Algebra IIF-TF3 mapped skills
What the test measures

Trigonometric Functions skills

  1. F.TF.A.1-4 Unit circle, radian measure, periodicity, and trigonometric identities

  2. F.TF.B.5-8 Model periodic phenomena and prove and apply trig identities

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Practice by skill

Topics mapped to this domain

Degree-radian conversion

Grade 1218 questions

Inverse trig domain and range

Grade 1220 questions

Unit circle trig values (SAT)

Grade 1010 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Convert 2π3\dfrac{2\pi}{3} to degrees.

2π3×180°π=120°\dfrac{2\pi}{3} \times \dfrac{180°}{\pi} = 120°.

Practice playeasy

What is the domain of arcsin⁡(x)\arcsin(x)?

The domain of arcsin⁡(x)\arcsin(x) is [−1, 1][-1,\, 1].

Practice playeasy

What is tan⁡(7π4)\tan\left(\dfrac{7\pi}{4}\right)?

The reference angle for 7π4\dfrac{7\pi}{4} is π4\dfrac{\pi}{4}. Tangent is negative in Quadrant IV, so tan⁡(7π4)=−tan⁡(π4)=−1\tan\left(\dfrac{7\pi}{4}\right) = -\tan\left(\dfrac{\pi}{4}\right) = -1.

Practice playeasy

Convert 120°120° to radians.

120°×π180°=2π3120° \times \dfrac{\pi}{180°} = \dfrac{2\pi}{3}.

Practice playeasy

What is arctan⁡(1)\arctan(1)?

tan⁡ ⁣(π4)=1\tan\!\left(\dfrac{\pi}{4}\right) = 1, so arctan⁡(1)=π4\arctan(1) = \dfrac{\pi}{4}.

Practice playeasy

What is sin⁡(π6)\sin\left(\dfrac{\pi}{6}\right)?

On the unit circle, sin⁡(π6)=12\sin\left(\dfrac{\pi}{6}\right) = \dfrac{1}{2}.

Practice playeasy

Convert 3π4\dfrac{3\pi}{4} to degrees.

3π4×180°π=135°\dfrac{3\pi}{4} \times \dfrac{180°}{\pi} = 135°.

Practice playeasy

What is arccos⁡(0)\arccos(0), in degrees?

cos⁡90∘=0\cos 90^{\circ} = 0 and 90∘90^{\circ} lies in [0∘,180∘][0^{\circ}, 180^{\circ}], so arccos⁡(0)=90∘\arccos(0) = 90^{\circ}.

Keep practicing

Turn trigonometric functions into game time.

The NJSLA placement starts with this test's real coverage map and finds the right difficulty.

Blossom Leap game coverBlossom LeapPlay →Batting Cage game coverBatting CagePlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
HSF.TF.A.1HSF.TF.B.6HSF.TF.A.2
The same skills on other tests
PARCC
Source and test overview
All NJSLA prepOfficial test source
Reporting categories

More Algebra II domains

The Real Number SystemExtend the properties of exponents to rational exponents and use properties of radicals and integer exponents.8 QsPractice →Complex Number SystemPerform arithmetic operations with complex numbers and use complex numbers in polynomial identities and equations.8 QsPractice →QuantitiesReason quantitatively and use units to solve problems.8 QsPractice →Seeing Structure in ExpressionsInterpret the structure of expressions and write expressions in equivalent forms to solve problems.8 QsPractice →Arithmetic with Polynomials and Rational ExpressionsPerform arithmetic operations on polynomials and rational expressions.8 QsPractice →Creating EquationsCreate equations that describe numbers or relationships.8 QsPractice →