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IF theta is positive acute angle and tan^2 theta + cot ^2 theta = 82/9 , find the value of tan theta + cot theta

Answer :

tan^2 theta + cot ^2 theta = 82/9

Adding 2 both side we get

tan^2 theta + cot ^2 theta  + 2 = 82/9 +2 =100/9

(tan theta + cot theta)^2 =100/9

tan theta + cot theta = 10/3

tan teeta + cot teeta  = 10/3

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