find the slope of a line whose inclination to the positive directioin of x-axis in anticlockwise sense is i. `60^@` ii.`0^@` iii. `150^@` iv. `120^@`

Explanation

`m=tan theta`

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(i) m=tan 60^{@}=sqrt{3}`

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(ii) m=tan 0^(@)=0`

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(iii) m=tan 150^{@}=tan (90^{@}+60^{@})=- cot theta=-cot 60^{@}=-1 / sqrt{3}`

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(iv) m=tan 120^{@}=tan (90^{@}+30^{@})=-cot 30^{circ}=-sqrt{3}`

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