If tan θ + cot θ = 12, then tan2 θ + cot2 θ is : |
66 128 142 132 |
142 |
tan θ + cot θ = 12 on squaring both side (tan θ + cot θ)2 = (12)2 tan2 θ + cot2 θ + 2 .tan θ .cot θ = 144 tan θ = \(\frac{1}{cot θ}\) tan2 θ + cot2 θ + 2 = 144 tan2 θ + cot2 θ = 144-2 = 142
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