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Question
मान ज्ञात कीजिए।
` [tan 60°]/ [ sin 60° + cos 60°]`
Sum
Solution
` [tan 60°]/ [ sin 60° + cos 60°]`
= `sqrt 3/{sqrt3/2 + 1/2}`
= `sqrt 3/[(sqrt 3 + 1)/2]`
= `sqrt3 xx 2/(sqrt3 + 1)`
= `(2 sqrt3)/(sqrt3 + 1)`
= `(2sqrt3(sqrt3-1))/((sqrt3+1)(sqrt3+1)`
= `(2sqrt3(sqrt3-1))/((sqrt3)^2 - (1)^2) ...[∵ (a + b) (a - b) = a^2 - b^2]`
= `(2sqrt3(sqrt3-1))/(3-1)`
= `(2sqrt3(sqrt3-1))/(2)`
= `sqrt3(sqrt3-1)`
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त्रिकोणमिति तालिका
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Chapter 8: त्रिकोणमिति - प्रश्नसंग्रह 8.2 [Page 112]
