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Question
यदि `tan θ + 1/tan θ = 2` है, तो `tan^2 θ + 1/(tan^2 θ)` का मान ज्ञात कीजिए।
Sum
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Solution
दिया गया:
`tan θ + 1/tan θ = 2`
दोनों पक्षों का वर्ग करने पर:
`(tan θ + 1/tan θ)^2 = 2^2`
`tan^2 θ + 1/(tan^2 θ) + 2(tan θ) (1/tan θ) = 4`
`tan^2 θ + 1/(tan^2θ) + 2 = 4`
`tan^2 θ + 1/(tan^2 θ) = 4 - 2`
`tan^2 θ + 1/(tan^2 θ) = 2`
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