[" [ii] "[alpha+beta=90^(@)" इढल "" ฉयार् "" क८.डा "" ८ "],[cosec^(2)alpha+cosec^(2)beta=cosec^(2)alpha cosec^(2)beta]]

2sec^(2)alpha-sec^(4)alpha-2csc^(2)alpha+csc^(4)alpha=

If alpha+beta=90^(@) then prove that cosec^(2)alpha+cosec^(2)beta=cosec^(2)alphacosec^(2)beta .

tanalpha=2 , then the value of ("cosec"^(2)alpha-sec^(2)alpha)/("cosec"^(2)alpha+sec^(2)alpha) is

Show that 1+cot^2alpha/(1+cosecalpha)=cosec alpha

Show that 1 + cot^2 alpha / (1+ cosec alpha) = cosec alpha

(1)/(sec^(4) alpha ) +(1)/("cosec"^(4) alpha ) +(2)/(sec^(2) alpha + "cosec"^(2) alpha )=

If x be real, prove that (x^(2) -2xcos alpha+1)/(x^(2) -2xcos beta+1) lies between sin^(2) alpha/2*cosec^(2) beta/2 and cos^(2) alpha/2*sec^(2) beta/2

(sin alpha+csc alpha)^(2)+(cos alpha+sec alpha)^(2)-7=

( tan alpha + " cosec " beta )^(2) - ( cot beta - sec alpha )^(2) =