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Karka LMS
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GANI
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Trigonometry

· Examples

✏️ Worked Examples — Step by Step

E1
Easy

Value of sin 60°:

💡 Standard value.

👁 Show Solution
sin 60° = √3/2.

✅ Answer: √3/2
√3/2
E2
Medium

A right triangle has hypotenuse 12, angle 30°. Opposite side?

💡 sin 30° × hyp.

👁 Show Solution
opp = 12 × sin 30° = 12 × 1/2 = 6.

✅ Answer: 6
6
E3
Challenging

Simplify: (sin θ × cos θ) / cos θ

💡 Cancel cos θ.

👁 Show Solution
cos θ cancels in numerator and denominator → sin θ (provided cos θ ≠ 0).

✅ Answer: sin θ
sin θ