CELE Engineering Mathematics — Plane and Spherical TrigonometrySlides
Slide deck for CELE Engineering 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 CELE 2026 syllabus.
Exam context
For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Engineering Mathematics under a "Core" label, with Plane and Spherical Trigonometry in the 2nd slot across 10 chapters. CELE candidates must clear the 70% weighted average, no sub-test below 50% cut on the 2026 paper, which draws about a meaningful share of Engineering Mathematics questions. Date to watch: May and November 2026.
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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