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प्रश्न
Choose the correct alternative:
sec 60° = ?
विकल्प
`1/2`
2
`2/sqrt(3)`
`sqrt(3)`
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उत्तर
2
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संबंधित प्रश्न
Prove the following identities, where the angles involved are acute angles for which the expressions are defined:
`(tan theta)/(1-cot theta) + (cot theta)/(1-tan theta) = 1+secthetacosectheta`
[Hint: Write the expression in terms of sinθ and cosθ]
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Prove the following trigonometric identities.
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Prove the following trigonometric identities.
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If sin A + cos A = p and sec A + cosec A = q, then prove that : q(p2 – 1) = 2p.
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Define an identity.
What is the value of (1 − cos2 θ) cosec2 θ?
Prove the following identity:
`cosA/(1 + sinA) = secA - tanA`
Prove the following Identities :
`(cosecA)/(cotA+tanA)=cosA`
Prove the following identity :
`(cotA - cosecA)^2 = (1 - cosA)/(1 + cosA)`
Prove the following identity :
`sqrt((1 + cosA)/(1 - cosA)) = cosecA + cotA`
Prove the following identity :
`(cos^3θ + sin^3θ)/(cosθ + sinθ) + (cos^3θ - sin^3θ)/(cosθ - sinθ) = 2`
Prove that:
`sqrt(( secθ - 1)/(secθ + 1)) + sqrt((secθ + 1)/(secθ - 1)) = 2 "cosec"θ`
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If sin θ + cos θ = `sqrt(3)`, then prove that tan θ + cot θ = 1.
Statement 1: sin2θ + cos2θ = 1
Statement 2: cosec2θ + cot2θ = 1
Which of the following is valid?
