Find the 270 degrees value for all the trigonometric angles.

We can proceed by using trigonometric ratios of different angles.

Answer: The value of 270º for all the six trigonometric ratios are: sin 270°  = – 1, cos 270° = 0, tan 270° = Not defined, cosec 270° =  – 1, sec 270° = Not defined, cot 270°= 0

We can proceed step by step to get the required value.

Explanation:

As we can write 270 degree as a multiple of 90 degree, therefore sin 270 degree can also be written as Euclid's division format.

sin 270° = sin (3 × 90° + 0°) = – cos 0° = – 1

cos 270° = cos (3 × 90° + 0°) = sin 0° = 0

tan 270° = tan (3 × 90° + 0°) = – cot 0° = Not defined

cosec 270° = cosec (3 × 90° + 0°) = – sec 0° = – 1

sec 270° = sec (3 × 90° + 0°) = cosec 0° = Not defined

cot 270° = cot (3 × 90° + 0°) = – tan 0° = 0

Thus, the value of 270º for all the six trigonometric ratios are sin 270°  = – 1, cos 270° = 0, tan 270° = Not defined, cosec 270° =  – 1, sec 270° = Not defined, cot 270°= 0