Aniline gives meta derivative as major product with

If&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">x</mi><mo>=</mo><mi>tan</mi><msup><mn>15</mn><mn>0</mn></msup><mo>,</mo><mi mathvariant="normal">y</mi><mo>=</mo><mi>cosec</mi><msup><mn>75</mn><mn>0</mn></msup></math>&nbsp;and&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">z</mi><mo>=</mo><mn>4</mn><mi>sin</mi><msup><mn>18</mn><mn>0</mn></msup></math>, then&nbsp;

If&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>SinA</mi><mo>=</mo><mfrac><mn>1</mn><msqrt><mn>10</mn></msqrt></mfrac></math>,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>SinB</mi><mo>=</mo><mfrac><mn>1</mn><msqrt><mn>5</mn></msqrt></mfrac><mo> </mo><mo>,</mo></math>0&lt;A,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">B</mi><mo>&lt;</mo><mfrac><mi mathvariant="normal">π</mi><mn>4</mn></mfrac></math>&nbsp;then&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Tan</mi><mfenced><mrow><mi mathvariant="normal">A</mi><mo>+</mo><mi mathvariant="normal">B</mi></mrow></mfenced><mo>=</mo></math>

If&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi><msup><mn>70</mn><mn>0</mn></msup><mo>+</mo><mi>tan</mi><msup><mn>20</mn><mn>0</mn></msup><mo>=</mo><mi>kcosec</mi><msup><mn>40</mn><mn>0</mn></msup></math>&nbsp;then k =&nbsp;

If&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>cos</mi><mn>3</mn></msup><mo>⁡</mo><mi>xsin</mi><mo>⁡</mo><mn>2</mn><mi mathvariant="normal">x</mi><mo>=</mo><munderover><mo>∑</mo><mrow><mi>r</mi><mo>=</mo><mn>0</mn></mrow><mi mathvariant="normal">n</mi></munderover><mo> </mo><msub><mi mathvariant="normal">a</mi><mi mathvariant="normal">r</mi></msub><mi>sin</mi><mo>(</mo><mi>rx</mi><mo>)</mo><mo>,</mo><mi mathvariant="normal">∀</mi><mi mathvariant="normal">x</mi><mo>∈</mo><mi mathvariant="normal">R</mi></math>&nbsp;then

If <math><mrow><mi>sin</mi><mi>A</mi><mo>=</mo><mfrac><mn>1</mn><mrow><msqrt><mrow><mn>10</mn></mrow></msqrt></mrow></mfrac><mo>,</mo><mi>sin</mi><mi>B</mi><mo>=</mo><mfrac><mn>1</mn><mrow><msqrt><mn>5</mn></msqrt></mrow></mfrac><mo>,</mo><mn>0</mn><mo>&lt;</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>&lt;</mo><mfrac><mi>π</mi><mn>4</mn></mfrac></mrow></math><xml> </xml>then <math><mrow><mi>A</mi><mo>+</mo><mi>B</mi><mo>=</mo></mrow></math><xml> </xml>

Aniline gives meta derivative as major product with

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