SSC CGL Quant · Study & Practice

Trigonometry & Heights / Distances

AreaTrigonometry DifficultyModerate–Hard SSC weightage4–6 questions (Tier 2)

Trigonometry in SSC rests on three pillars: the ratios (sin, cos, tan and their reciprocals), the standard-angle table (0, 30, 45, 60, 90), and the identities. Memorise the table cold and most direct questions are instant evaluations. The identities sin^2 + cos^2 = 1, 1 + tan^2 = sec^2 and 1 + cot^2 = cosec^2 simplify the rest. Heights and distances then apply tan to a right triangle: tan(angle) = opposite/adjacent.

Topics

1 Trigonometric Ratios 4 worked · 5 practice · 8-Q test Start → 2 Standard Angle Values 4 worked · 5 practice · 8-Q test Start → 3 Identities 4 worked · 5 practice · 8-Q test Start → 4 Heights & Distances 4 worked · 5 practice · 8-Q test Start →

⚡ SSC shortcuts & speed methods

The fastest ways to crack this chapter under time pressure — the techniques that separate a 95+ percentiler from the rest.

  • Reconstruct a triangle from one ratio using Pythagorean triples (3-4-5, 5-12-13, 8-15-17).
  • sec^2 - tan^2 = 1 and cosec^2 - cot^2 = 1 collapse long expressions.
  • Memorise the 0/30/45/60/90 table cold.
  • Heights & distances: tan(angle) = height / ground distance.

⚠️ Common mistakes & traps

SSC is designed so that careless errors here cost you marks. Internalise each trap before the exam.

  • Swapping sin and cos values in the standard table.
  • Forgetting tan 90 (and sec 90) are undefined.
  • Using sin instead of tan in elevation problems (tan = height/distance).
  • Dropping the square in sin^2 + cos^2 = 1.

📈 SSC exam insight & PYQ analysis

SSC Tier 2 asks direct standard-angle evaluations, identity simplifications, and single/double-observation height-and-distance problems at 30/45/60.

🎴 Flashcards — instant recall

Tap a card to reveal the answer. Drill these until they are automatic.

sin 30?Tap to reveal
1/2
tan 60?Tap to reveal
root 3
sec^2 - tan^2 = ?Tap to reveal
1
Elevation rule?Tap to reveal
tan(angle) = height/distance
If sin = 3/5, cos = ?Tap to reveal
4/5

📌 Quick revision

Know the ratios, the standard-angle table and the three Pythagorean identities by heart. Reconstruct triangles from a single ratio, simplify with the identities, and solve heights/distances with tan(angle) = height/distance.

Chapter test

📝 Trigonometry & Heights / Distances — Chapter Test
25 fresh questions · timed · full solutions
Start chapter test →
📊 My SSC analytics
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🏆 Vidaara SSC success checklist

You have truly mastered Trigonometry & Heights / Distances when you can tick every box below.

  • Recall every formula in this chapter without looking them up
  • Solve each topic’s practice set with at least 80% accuracy
  • Use the chapter shortcuts to cut your solving time in half
  • Spot and avoid every common trap listed above
  • Score 80%+ on the timed chapter test

📋 Chapter mastery scorecard

Track where you stand. Aim for the target before moving to the next chapter.

Skill checkpointTarget
Concept theory & formulas understood100%
Topic practice sets attempted (4 topics)4/4
Best topic-test score— → 80%+
Chapter test score— → 80%+
Flashcards drilled to instant recall5 cards