Question
Download Solution PDFsin1°sin2°sin3°.... sin43°sin44°tan30°sec46°sec47°.... sec87°sec88°sec89° का मान ______ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFsin1°sin2°sin3°.... sin43°sin44°tan30°sec46°sec47°.... sec87°sec88°sec89°
= (sin1°sec89°)(sin2°sec88°)(sin3°sec87°).... (sin44°sec46°)tan30°
∵ sec(90 - θ) = cosecθ और tan30° = 1/√3
= (sin1°cosec1°)(sin2°cosec2°)(sin3°cosec3°).... (sin44°cosec44°)tan30°
∵ sinθcosecθ = 1
= 1 × 1 × 1 × 1.... × 1/√3 = 1/√3
∴ दिए गए समीकरण का मान 1/√3 है
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