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Question
Find the value of `θ(0^circ < θ < 90^circ)` if :
`tan35^circ cot(90^circ - θ) = 1`
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Solution
`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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