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If ( \theta ) is in the fourth quadrant and the reference angle is ( \frac{\pi}{9} ), what is the principal radian value of ( \theta )?यदि ( \theta ) चतुर्थ चतुर्थांश में है और संदर्भ कोण ( \frac{\pi}{9} ) है तो ( \theta ) का मुख्य रेडियन मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \frac{17\pi}{9} )( \frac{17\pi}{9} )
In the fourth quadrant ( \theta=2\pi-\frac{\pi}{9}=\frac{17\pi}{9} ). A full revolution in radians is (2\pi).चतुर्थ चतुर्थांश में ( \theta=2\pi-\frac{\pi}{9}=\frac{17\pi}{9} ) है। रेडियन में पूर्ण चक्कर (2\pi) होता है।
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