Trigonometry
Maharashtra Board · Class 10 · Mathematics
Flashcards for Trigonometry — Maharashtra Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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What are the three basic trigonometric ratios for an angle θ in a right triangle?
Answer
The three basic trigonometric ratios are: 1. sine θ = opposite side/hypotenuse 2. cosine θ = adjacent side/hypotenuse 3. tangent θ = opposite side/adjacent side…
What is cosecant θ (cosec θ)?
Answer
Cosecant θ is the reciprocal of sine θ. cosec θ = 1/sin θ = hypotenuse/opposite side Note: cosec θ × sin θ = 1…
What is secant θ (sec θ)?
Answer
Secant θ is the reciprocal of cosine θ. sec θ = 1/cos θ = hypotenuse/adjacent side Note: sec θ × cos θ = 1…
What is cotangent θ (cot θ)?
Answer
Cotangent θ is the reciprocal of tangent θ. cot θ = 1/tan θ = adjacent side/opposite side = cos θ/sin θ Note: cot θ × tan θ = 1…
State the fundamental trigonometric identity.
Answer
sin² θ + cos² θ = 1 This is the most fundamental identity in trigonometry. It is derived from the Pythagorean theorem in a right triangle.
What is the identity involving secant and tangent?
Answer
1 + tan² θ = sec² θ This identity is derived by dividing the fundamental identity sin² θ + cos² θ = 1 by cos² θ.
What is the identity involving cosecant and cotangent?
Answer
1 + cot² θ = cosec² θ This identity is derived by dividing the fundamental identity sin² θ + cos² θ = 1 by sin² θ.
What are the values of sin 30°, cos 30°, and tan 30°?
Answer
sin 30° = 1/2 cos 30° = √3/2 tan 30° = 1/√3…
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