GELE Mathematics — Plane and Spherical TrigonometrySlides
Slide deck for GELE Mathematics — Plane and Spherical Trigonometry. These slides are built for quick visual review, highlighting the key concepts, formulas, and question patterns from this chapter of the GELE 2026 syllabus.
Exam context
Professional Regulation Commission (PRC) — Board of Geodetic Engineering runs the Geodetic Engineer Licensure Examination on September 2026. Its Mathematics section sits under a "Core" weighting, and Plane and Spherical Trigonometry is the 2nd chapter in the 10-chapter GELE Mathematics rotation. The GELE 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 Mathematics.
Plane and Spherical Trigonometry - Slides
Slides
Chapter Overview: Plane and Spherical Trigonometry
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S1
Fundamental Trigonometric Functions
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S2
Fundamental Trigonometric Identities
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S3
Double-Angle and Sum/Difference Formulas
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S4
Law of Sines: Theory and Application
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S5
Law of Sines: The Ambiguous Case (SSA)
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S6
Law of Cosines: Theory and Application
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S7
Solving Oblique Triangles: Complete Strategy
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S8
Triangle Area Formulas
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S9
Heron's Formula: Detailed Application
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S10
Practical Applications: Height and Distance Problems
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S11
Applications in Structural Analysis: Truss and Frame Problems
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S12
Introduction to Spherical Trigonometry
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S13
Spherical Excess and Geodetic Area Calculation
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S14
Common PRC Exam Pitfalls and Verification Techniques
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S15
Summary: Key Formulas and Decision Tree
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S16
Practice Problem Set: Plane Trigonometry
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S17
Trigonometry in PRC Civil Engineer Licensure Exam Context
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S18
Chapter Conclusion and Learning Outcome Review
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S19
Stored In
chapter_slides
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19
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