`tan^2alpha=1-p^2` then `secalpha+tan^3alpha*cosecalpha`

If secalpha+tanalpha=m, " then " sec^(4)alpha-tan^(4)alpha-2sec alpha tan alpha is ___________.

if tan alpha+cot alpha=p then find the value of a.tan^(2)alpha+cot^(2)alpha b.tan^(3)alpha+cot^(3)alpha

If sinalpha=5/13 and pi/2ltalphaltpi then the value of (secalpha+ tan alpha)/(cosec alpha - cot alpha)

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

Prove that: (tan^(3)alpha)/(1+tan^(2)alpha)+(cot^(3)alpha)/(1+cot^(2)alpha)=sec alpha cosec alpha-2sin alpha cos alpha

If cos^2alpha=sin^3alpha then show that tan^6alpha-tan^2alpha=1

If (cos (alpha_1- alpha_2))/(cos (alpha_1+ alpha_2)) = (cos (alpha_3+ alpha_4))/(cos (alpha_3- alpha_4)) =0 then tan alpha_1* tan alpha_2* tan alpha_3* tan alpha_4 =............

Prove that, tan 8alpha - tan 5 alpha - tan 3 alpha = tan 8alpha tan 5 alpha tan 3 alpha

If alpha is any real number, then : (sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2-(tan^2alpha+cot^2alpha)=....