without using trigonometric tables evaluate the following tan 30 degree divided by sec 30 degree + cosec 30 degree divided by tan 45 degree minus 2 cos 0 degree divided by sin 30 degree + cos square 45 degree
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tan 30 degree divided by sec 30 degree + cosec 30 degree divided by tan 45 degree minus 2 cos 0 degree divided by sin 30 degree + cos square 45 degree
= tan 30°/sec 30° + cosec 30°/tan 45° - 2cos 0°/sin 30° + cos² 45
= (sin 30°/cos 30°) /sec 30° + cosec 30°/tan 45° - 2cos 0°/sin 30° + cos² 45
= sin 30° + cosec 30°/tan 45° - 2cos 0°/sin 30° + cos² 45
= 1/2 + 2/1 - 2 [ 1 / (1/2) ] + (1/√2)²
= 1/2 + 2 - 4 + 1/2
= 1 + 2 - 4
= 3 - 4
= -1
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