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The value of cot–1(21) + cot–1(13) + cot–1 (–8) is
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![If tan–1 2x + tan–1 3x = \[\frac{\pi }{4}\], then x is [NIMCET 2009]](https://i.ytimg.com/vi/AqDesHSKwzQ/hqdefault.jpg?sqp=-oaymwEjCOADEI4CSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLC7BDY65D60vt2N1tTW9TnXu2AOrQ)
If tan–1 2x + tan–1 3x = \[\frac{\pi }{4}\], then x is [NIMCET 2009]
![Find the principal value of cot–1 \[( - \sqrt 3 )\] [NIMCET 2017]](https://i.ytimg.com/vi/PSng_MddoJo/hqdefault.jpg?sqp=-oaymwEjCOADEI4CSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLCpPr89CLYeavIKvPRmMVxM8jYqOQ)
Find the principal value of cot–1 \[( - \sqrt 3 )\] [NIMCET 2017]
If \[\theta = {\tan ^{ - 1}}\frac{1}{{1 + 2}} + {\tan ^{ - 1}}\frac{1}{{1 + (2)(3)}} + {\tan ^{ - 1
![If \[{\cos ^{ - 1}}\frac{x}{2} + {\cos ^{ - 1}}\frac{y}{3} = \phi \], then \[9{x^2} -](https://i.ytimg.com/vi/XGefeL2UGGg/hqdefault.jpg?sqp=-oaymwEjCOADEI4CSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBXJrscpBBi_p_dqWbdjiKz3Hvgxg)
If \[{\cos ^{ - 1}}\frac{x}{2} + {\cos ^{ - 1}}\frac{y}{3} = \phi \], then \[9{x^2} -
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![The value of \[2{\tan ^{ - 1}}[\cos ec({\tan ^{ - 1}}x) - \tan ({\cot ^{ - 1}}x)]\] is](https://i.ytimg.com/vi/U4nJOIV8KLA/hqdefault.jpg?sqp=-oaymwEjCOADEI4CSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLBWJZ-kW3ON4X47BRg4lQg6AJqqcg)
The value of \[2{\tan ^{ - 1}}[\cos ec({\tan ^{ - 1}}x) - \tan ({\cot ^{ - 1}}x)]\] is