Prove that : (cosx−cosy)2+(sinx−siny)2=4sin2x−y2 View Solution Prove that:(cosx−cosy)2+(sinx−siny)2=4sin2x−y2 View Solution Prove thatsinx−sinycosx+cosy=tan(x−y)2 View Solution Prove that(cosx+cosy)2+(sinx−siny)2=4cos2(x+y2) ...
LHS = (cosx-cosy)^(2)+(sinx-siny)^(2) =[2sin(x+y)/(2)sin(y-x)/(2)]^(2) + [2cos(x+y)/(2)sin(x-y)/(2)]^(2) =4sin^(2)(x+y)/(2)sin^(2)(x-y)/(2) =4sin^(2)(x-y)/(2)[(sin^(2)(x+y)(2)+cos^(2)(x+y)/(2))] =4sin^(2)(x-y)/(2) ...
【解析】(|a|)/(||x|)secx=(|a)/(|⋅x)1/(cosx)=(0-(-sinx)|)/(cos^2x) =1/(cosx)(sinx)/(cosx)=secxtanx Rewrite y=co-1x as x=cosy and then apply(implicit differentiation) to get 1=-siny. Butsn2y+cos2y=1, SO_2^2=√(1-x^2) T husy/x=(1-)/(|x|)sin...
由余弦定理,对边h=2^2+5^2-2*2*5COSX=3*3+4*4-2*3*4*cosy 化简的10cosy-12cosx=1 两边对x求导得dy/dx=6sinx/(5siny) 对s求x导得 s‘=6cosx+5cosy*(dy/dx)=0 得coty=-cotx 则x与y互补.此时s''=6*(-sinx+cosx*coty-sinx/siny^2),易判断其小于0(sinx=siny,cosx=-cosy) 则其为...
Verify that the equation is an identity. (sin(x - y))/(sin(x + y)) = (tan x - tan y)/(tan x + tan y). Verify that the equation is an identity: (sinx - cosx)^2 = 1 - 2sinxcosx. Prove the identity. cos^2x over sin x + 1 =...
View Solution ਸਿੱਧ ਕਰੋ ਕਿ :-(cosx−cosy)2+(sinx−siny)2=4sin2x−y2 View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep,...
Ifsinx+cosy=aandcosx+siny=b, then tanx−y2is equal to View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium ...