Same chapter3 marksDifficulty: Medium
Prove that (1 − cos2θ) cosec2θ = 1.
Trigonometric Identities
Original Khojo Papers practice question — not from a past board paper.
Proved.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
1 − cos2θ = sin2θ and 1 + cot2θ = cosec2θ. Their product is sin2θ × (1/sin2θ) = 1.
From the same topic and chapter, at a similar level.
Prove that (1 − cos2θ) cosec2θ = 1.
Trigonometric Identities
Prove that (sec A − tan A)(sec A + tan A) = 1.
Trigonometric Identities
If sin θ = 3/5 and θ is acute, find cos θ and tan θ.
Trigonometric Identities
Prove that tan θ + cot θ = sec θ cosec θ.
Trigonometric Identities
If tan θ = 4/3, find the value of (sin θ + cos θ)/(sin θ − cos θ).
Trigonometric Identities
Evaluate (sin2 30° + cos2 45°) ÷ (tan2 60° − cot2 45°).
Trigonometric Identities