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प्रश्न
Choose the correct alternative:
1 + tan2 θ = ?
पर्याय
Sin2 θ
Sec2 θ
Cosec2 θ
Cot2 θ
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उत्तर
sec2θ
Explanation:
1 + tan2θ = sec2θ
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संबंधित प्रश्न
Prove the following identities, where the angles involved are acute angles for which the expressions are defined:
`(1+ secA)/sec A = (sin^2A)/(1-cosA)`
[Hint : Simplify LHS and RHS separately.]
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`(1 - cos^2 A) cosec^2 A = 1`
Prove the following trigonometric identities.
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If x = a sec θ + b tan θ and y = a tan θ + b sec θ, prove that x2 − y2 = a2 − b2
Prove the following identities:
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cosec4θ − cosec2θ = cot4θ + cot2θ
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Activity:
`square` = 1 + tan2θ ......[Fundamental trigonometric identity]
`square` – tan2θ = 1
(sec θ + tan θ) . (sec θ – tan θ) = `square`
`sqrt(3)*(sectheta - tan theta)` = 1
(sec θ – tan θ) = `square`
Prove that 2(sin6A + cos6A) – 3(sin4A + cos4A) + 1 = 0
