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CELE Engineering MathematicsPlane and Spherical TrigonometryFlash Cards

Flashcards for Plane and Spherical Trigonometry reviewers. Front of card: a question or prompt. Back of card: the answer plus a short explanation. Every card is calibrated to the way CELE tests Plane and Spherical Trigonometry in its Engineering Mathematics subtest.

Exam context

Professional Regulation Commission (PRC) — Board of Civil Engineering runs the Civil Engineer Licensure Examination on May and November 2026. Its Engineering Mathematics section sits under a "Core" weighting, and Plane and Spherical Trigonometry is the 2nd chapter in the 10-chapter CELE Engineering Mathematics rotation. The CELE passing mark is 70% weighted average, no sub-test below 50%, and the most recent 2026 paper drew about a meaningful share of questions from Engineering Mathematics.

Plane and Spherical Trigonometry - Flashcards

Cards

Topic

Right Triangle Trigonometry - Angle of Elevation

Card Id

FC1

Topic

Law of Cosines

Card Id

FC2

Topic

Fundamental Trigonometric Identity

Card Id

FC3

Topic

Law of Sines - Angle-Opposite Side Pairs

Card Id

FC4

Topic

Heron's Formula for Triangle Area

Card Id

FC5

Topic

Ambiguous Case (SSA) in Law of Sines

Card Id

FC6

Topic

Solving Oblique Triangles - SSS Case

Card Id

FC7

Topic

Double-Angle Formulas

Card Id

FC8

Topic

Triangle Area using SAS (Side-Angle-Side)

Card Id

FC9

Topic

Surveying and Triangulation - AAS Case

Card Id

FC10

Topic

Quotient Identity and Its Derivation

Card Id

FC11

Topic

Right Triangle Applications - Guy Wire Problem

Card Id

FC12

Topic

Trigonometric Identity Simplification

Card Id

FC13

Topic

Triangle Area - Comparing Methods

Card Id

FC14

Topic

Spherical Trigonometry - Area from Excess

Card Id

FC15

Topic

Force Resultants Using Law of Cosines

Card Id

FC16

Topic

Angle of Depression Applications

Card Id

FC17

Topic

Derivation of the Law of Cosines

Card Id

FC18

Topic

Right Triangle Applications - Ladder Problem

Card Id

FC19

Topic

Spherical Geometry - Understanding Excess

Card Id

FC20

Stored In

chapter_flashcards

Card Count

20

Summary Only

true

Topic Distribution

Law Of Sines

3

Law Of Cosines

4

Spherical Trigonometry

2

Conceptual Understanding

2

Trigonometric Identities

4

Triangle Area Calculations

3

Right Triangle Trigonometry

4

Angle Of Elevation And Depression

2

Applied Problems (Surveying, Forces, Structures)

4

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