Trigonometry Questions

What is the Value of Cos 60 Degrees ?

Solution : The value of Cos 60 degrees is \(1\over 2\). Proof : Consider an equilateral triangle ABC with each side of length of 2a. Each angle of \(\Delta\) ABC is of 60 degrees. Let AD be the perpendicular from A on BC. \(\therefore\)   AD is the bisector of \(\angle\) A and D is the …

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What is the Value of Cosec 30 Degrees ?

Solution : The value of cosec 30 degrees is 2. Proof : Consider an equilateral triangle ABC with each side of length of 2a. Each angle of \(\Delta\) ABC is of 60 degrees. Let AD be the perpendicular from A on BC. \(\therefore\)   AD is the bisector of \(\angle\) A and D is the mid-point …

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What is the Value of Sec 30 Degrees ?

Solution : The value of sec 30 degrees is \(2\over \sqrt{3}\). Proof : Consider an equilateral triangle ABC with each side of length of 2a. Each angle of \(\Delta\) ABC is of 60 degrees. Let AD be the perpendicular from A on BC. \(\therefore\)   AD is the bisector of \(\angle\) A and D is the …

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What is the Value of Tan 30 Degrees ?

Solution : The value of tan 30 degrees is \(1\over \sqrt{3}\). Proof : Consider an equilateral triangle ABC with each side of length of 2a. Each angle of \(\Delta\) ABC is of 60 degrees. Let AD be the perpendicular from A on BC. \(\therefore\)   AD is the bisector of \(\angle\) A and D is the mid-point …

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What is the Value of Cosec 0 Degrees ?

Solution : The value of Cosec 0 degrees is equal to \(\infty\) or not defined. Proof : \(\angle\) A is made smaller and smaller in the right \(\Delta\) ABC till it becomes zero. As \(\angle\) A gets smaller and smaller the length of the side BC decreases. The point C gets closer to the point B …

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