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If \(\theta=999°\), which pair gives its principal angle (in the range \(0°\leq\theta<360°\)) and quadrant?यदि \(\theta=999°\) है, तो मुख्य कोण (सीमा \(0°\leq\theta<360°\) में) और चतुर्थांश का सही युग्म कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 279°, fourth quadrant279°, चौथा चतुर्थांश
Subtract two full rotations: \(999°-2(360°)=279°\). Since \(270°<279°<360°\), the principal angle lies in the fourth quadrant.दो पूरे घूर्णन घटाएँ: \(999°-2(360°)=279°\)। चूँकि \(270°<279°<360°\), मुख्य कोण चौथे चतुर्थांश में है।
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