If tan theta + cot theta is equals to 7 then find the value of tan square theta + cot square theta
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hence it is given that
tan theta + cot theta = 7
by squaring both side we obtain
(tan theta + cot theta)^2 = 7^2
tan ^2 theta + cot ^2 theta + 2 tan theta × cot theta = 49 (by the formula of (a+b)^2)
tan tan ^2 theta + cot ^2 theta +2= 49 (tan theta × cot theta = 1)
tan tan ^2 theta + cot ^2 theta = 49-2= 47
tan theta + cot theta = 7
by squaring both side we obtain
(tan theta + cot theta)^2 = 7^2
tan ^2 theta + cot ^2 theta + 2 tan theta × cot theta = 49 (by the formula of (a+b)^2)
tan tan ^2 theta + cot ^2 theta +2= 49 (tan theta × cot theta = 1)
tan tan ^2 theta + cot ^2 theta = 49-2= 47
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