OSTP Grade 11 CCRA Trigonometry. Practice it free.

A strand within Precalculus that outlines desired student outcomes for teaching Trigonometry (course 4750), sufficient for ½ unit of credit. This Grade 11 CCRA reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 11 CCRA7 mapped skills
What the test measures

Trigonometry skills

  1. right-triangle trigonometry

  2. unit circle

  3. trigonometric identities

  4. trigonometric equations

  5. applications of trigonometry

Standards basis

2022 Oklahoma Academic Standards for Mathematics (OAS-M) — Oklahoma

How the OSTP reports it

Oklahoma’s OSTP math is built on the 2022 Oklahoma Academic Standards for Mathematics rather than a national shared blueprint. The state math standards page notes that Statistics & Probability and Precalculus were added in the 2022 revision, and Precalculus includes a Trigonometry strand.

Blueprint & weighting

OSTP uses the Independent / state-specific framework (by grade domains structure).

Practice by skill

Topics mapped to this domain

Degree-radian conversion

Grade 1218 questions

Trig identities

Grade 1220 questions

Unit circle trig values (SAT)

Grade 1010 questions

Inverse trig domain and range

Grade 1220 questions

Law of sines and cosines

Grade 1215 questions

Right triangle trig from two ratios

Grade 1010 questions

Special right triangles

Grade 1015 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

Which is the Pythagorean identity?

The fundamental Pythagorean identity is sin⁡2θ+cos⁡2θ=1.\sin^{2}\theta + \cos^{2}\theta = 1\textsf{.}

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

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

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

Practice playeasy

In a 30°30°-60°60°-90°90° triangle, the hypotenuse is 1616. What is the short leg?

The short leg is half the hypotenuse: 162=8\dfrac{16}{2} = 8.

Practice playeasy

In a right triangle, sin⁡α=725\sin\alpha = \dfrac{7}{25} and cos⁡α=2425\cos\alpha = \dfrac{24}{25}. What is tan⁡α\tan\alpha?

tan⁡α=sin⁡αcos⁡α=7252425=725⋅2524=724\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha} = \dfrac{\dfrac{7}{25}}{\dfrac{24}{25}} = \dfrac{7}{25} \cdot \dfrac{25}{24} = \dfrac{7}{24}.

Practice playeasy

In a 3030-6060-9090 triangle the short leg is 33. What is the hypotenuse?

The hypotenuse is twice the short leg: 2×3=62 \times 3 = 6.

Practice playeasy

Convert 120°120° to radians.

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

Keep practicing

Turn trigonometry into game time.

The OSTP 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.C.8HSF.TF.A.2HSF.TF.B.6HSG.SRT.D.10HSG.SRT.C.6HSG.SRT.C.8
Source and test overview
All OSTP prepOfficial test source
Reporting categories

More Grade 11 CCRA domains

Number and QuantityStudents extend number systems and use quantities to model and solve problems.8 QsPractice →AlgebraStudents create and solve equations and inequalities and use algebraic structure.8 QsPractice →FunctionsStudents interpret, build, and analyze functions.8 QsPractice →GeometryStudents use congruence, similarity, circles, and geometric modeling.8 QsPractice →Statistics and ProbabilityStudents make inferences and justify conclusions from data.8 QsPractice →Statistics & ProbabilityThis Oklahoma-added strand is explicitly included in the 2022 Oklahoma Academic Standards for Mathematics.8 QsPractice →