Prove that: `(cos80^@)/(sin10^@)+cos59^@\ cosec\ 31^@=2`

(cos80^(@))/(sin10^(@))+cos59^(@)cos ec31^(@)=2

Prove that : (i) (sin 70^@)/(cos 20^@)+(cosec 20^@)/(sec 70^@)-2cos 70^@cosec 20^@=0 (ii) (cos 80^@)/(sin 10^@)+cos 59^@cosec 31^@=2 (iii) (2 sin 68^@)/(cos 22^@)-(2 cot 15^@)/(5 tan 75^@)-(3tan 45^@tan 20^@tan 40^@tan 50^@tan 70^@)/(5)=1 (iv) (sin 18^@)/(cos 72^@)+sqrt(3) (tan 10^@ tan 30^@tan 40^@tan 50^@tan 80^@)=2 (v) (7cos 55^@)/(3 sin 35^@)-(4(cos 70^@cosec 20^@))/(3(tan 5^@tan 25^@tan 45^@tan 65^@tan 856^@))=1

Evaluate : 3 cos 80^@ cosec 10^@ + 2 cos 59^@ cosec 31^@

Prove that ((cos70^(@))/(sin20^(@)))+((cos59^(@))/(sin31^(@)))-8cos^(2)60^(@)=0

Prove that (cos10^(@)+sin10^(@))/(cos10^(@)-sin10^(@))=tan55^(@)

(sin31^(@))/(2cos59^(@))=

Prove that (i) sin 70^(@) cos 10^(@) -cos 70^(@) sin 10^(@) =(sqrt(3))/(2) (ii) cos 50^(@) cos 10^(@) -sin 50^(@) sin 10^(@) =(1)/(2) (ii) cos 80^(@) cos 20^(@) + sin 80^(@) sin 20^(@) =(1)/(2) (iv) sin 36^(@) cos 9^(@) + cos 36^(@) sin 9^(@) =(1)/(sqrt(3))

Prove that :(cos10^(@)-sin10^(0))/(cos10^(@)+sin10^(0))=tan35^(@)

Prove that (cos7A)/(sec A)-(sin7A)/(cosec A)=cos8A