if `sin(c/2) =(a-b)/(2sqrt(ab)) tan theta` prove that `c=(a-b)sec theta`

If sqrt(a + b) tan = theta/2 = sqrt(a -b) tan phi/2 then prove that a + b cos phi = (a cos phi+ b) sec theta .

If a sin theta+b cos theta=c then prove that a cos theta-b sin theta=sqrt(a^(2)+b^(2)-c^(2))

Ifa sin theta+b cos theta=C, then prove that a cos theta-b sin theta=sqrt(a^(2)+b^(2)-c^(2))

If the three side of a triangle be a, b, c and tan theta=(2 sqrt(ab))/(a-b) "sin"(C)/(2) , then show that "sec" theta =(c)/(a-b) .

intsecx/(sqrt(sin(2x+theta)+sin theta))dx(AA x,theta in(0,(pi)/(2))) (A) sqrt(3(tan x sec theta+tan theta sec theta))+c (B) sqrt(2(tan x sec theta+tan theta sec theta))+c (C) sqrt(5(tan x sec theta-tan theta sec theta))+c (D) sqrt((tan x sec theta-tan theta sec theta))+c

If a sec theta+b tan theta=c then (a tan theta+b sec theta)^(2)=

If a sec theta+b tan theta=c then (a tan theta+b sec theta)^(2)=

If (a^(2)-b^(2))sin theta+2 ab cos theta-(a^(2)+b^(2))=0 , then prove that tan theta=(1)/(2)((a)/(b)-(b)/(a)) .

If asin^(2)theta+bcos^(2)theta=c , then prove that tan^(2)theta=(c-b)/(a-c)

If asin^(2)theta+bcos^(2)theta=c , then prove that tan^(2)theta=(c-b)/(a-c)