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प्रश्न
Find the value of `θ(0^circ < θ < 90^circ)` if :
`tan35^circ cot(90^circ - θ) = 1`
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उत्तर
`tan35^circ cot(90^circ - θ) = 1`
Given `tan35^circ cot(90^circ - θ) = 1`
⇒ `tan35^circtanθ = 1`
⇒ `tan35^circ = cotθ`
⇒ `tan35^circ = tan(90^circ - θ)`
⇒ `90^circ - θ = 35^circ`
⇒ `θ = 55^circ`
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संबंधित प्रश्न
Prove the following trigonometric identities.
tan2θ cos2θ = 1 − cos2θ
Prove the following trigonometric identities.
`sqrt((1 - cos theta)/(1 + cos theta)) = cosec theta - cot theta`
Prove the following trigonometric identities.
`(cos theta - sin theta + 1)/(cos theta + sin theta - 1) = cosec theta + cot theta`
Prove the following identities:
`(sinAtanA)/(1 - cosA) = 1 + secA`
Prove that:
`cot^2A/(cosecA - 1) - 1 = cosecA`
Prove that:
`"tanθ"/("secθ" – 1) = (tanθ + secθ + 1)/(tanθ + secθ - 1)`
Prove the following identity :
`(1 + sinθ)/(cosecθ - cotθ) - (1 - sinθ)/(cosecθ + cotθ) = 2(1 + cotθ)`
Find the value of ( sin2 33° + sin2 57°).
Prove that `sec^2A - "cosec"^2A = (2sin^2A - 1)/(sin^2A *cos^2A)`.
Prove the following:
`sintheta/(1 + cos theta) + (1 + cos theta)/sintheta` = 2cosecθ
