Question

if the angle A is not in first quadrant and cotA=15/8,then the value of sinA is​

Answer 1

Answer:

8/17

Step-by-step explanation:

by pythagoras theorem we get the value of hypotenuse . then the ratio for sinA is perpendicular/hypotenuse .. so it is 8/17.

Answer 2

Answer:

- 8/17

Step-by-step explanation:

Here Cot A is +ve in Third quadrant

Using right triangle

hypotenuse =

$\sqrt{ {15}^{2} + {8}^{2} } = \sqrt{225 + 64 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{289} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 17$

cot A = adjacent/opposite=15/8

sinA = opposite/hypotenuse

=8/17

but in third Quadrant Sin A is - be

so, Sin A = - 8/17