निम्नलिखित फलनों का x के सापेक्ष अवकलन कीजिए :
`"tan"^(-1) (x sin alpha)/(1-x cos alpha)`

Differentiate tan^(-1) ((x sin alpha)/(1-x cos alpha))

If tan alpha = (x sin beta)/(1-x cos beta) " and " tan beta = (y sin alpha)/(1-y cos alpha),"show that", (sin alpha)/(sin beta) = x/y .

cot^(1) sqrt(cos alpha) -tan^(-1) sqrt(cos alpha)= x then sin x

cot_(sin x)^(-1)(sqrt(cos alpha))-tan^(-1)(sqrt(cos alpha))=x then

Prove that for real x, (tan(x+alpha))/(tan(x-alpha)) where alpha ne pi/4, 3pi/4 cannot lies between (1- sin2 alpha)/(1+ sin 2alpha) and (1+ sin2 alpha)/(1- sin 2alpha) .

If x cos alpha + y sin alpha = x cos beta + y sin beta "then" (sin alpha - cos alpha - sin beta + cos beta)/(sin alpha + cos alpha - sin beta - cos beta)=

(1+sin alpha)/(1+cos alpha)*(1+sec alpha)/(1+cos ec alpha)=tan alpha