Question

cos80°÷sin10°+cos59°×cosec31°​

Answer 1

Answer:

2

Step-by-step explanation:

cos80=sin(90-80)=sin10

cos59=sin(90-59)=sin31

cos80/sin10+cos59*cosec31=sin10/sin10+sin31*cosec31

=1+1=2

Answer 2

Step-by-step explanation:

$\frac{ \cos 80}{ \sin10 } + \cos59 \times \cosec31 \\ = \frac{ \cos(90 - 10) }{ \sin(10) } + \frac{ \cos(90 - 31) }{ \sin(31) } \\ = \frac{ \sin(10) }{ \sin(10) } + \frac{ \sin(31) }{ \sin(31) } \\ = 1 + 1 = 2$

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