मराठी

Find the Value of θ ( 0 ∘ < θ < 90 ∘ ) If : Tan 35 ∘ Cot ( 90 ∘ − θ ) = 1 - Mathematics

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प्रश्न

Find the value of `θ(0^circ < θ < 90^circ)` if : 

`tan35^circ cot(90^circ - θ) = 1`

बेरीज

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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पाठ 21: Trigonometric Identities - Exercise 21.3

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 21 Trigonometric Identities
Exercise 21.3 | Q 2.02
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