For the equation `1-2x-x^2=tan^2(x+y)+cot^2(x+y)` (a)exactly one value of `x` exists (b)exactly two values of `x` exists (c)`y=-1+npi+pi/4,n in Z` (d)`y=1+npi+pi/4, n in Z`

If x+y=pi//4 and tan x+tan y=1 , then (n in Z)

Let tanx-tan^2x >0 and |2s inx| npi,n in Z (b) x > npi-pi/6,n in Z x

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi

The general solution of the equation sin^(100)x-cos^(100)x=1 is 2npi+pi/3,n in I (b) n pi+pi/2,n in I npi+pi/4,n in I (d) 2npi=pi/3,n in I

If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2],n in N then find the greatest value of ndot

The general solution of cosxcos6x=-1 is x=(2n+1)pi,n in Z x=2npi,n in Z x=npi,n in Z (d) none of these

There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n^2=0,n in Zdot If the two circles have exactly two common tangents, then the number of possible values of n is 2 (b) 8 (c) 9 (d) none of these

Prove that |(1,x,x^2),(1,y,y^2),(1,z,z^2)|=(x-y)(y-z)(z-x)

The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) npi+-pi/4 (b) 2npi+-pi/4 npi+pi/3 (d) npi-pi/6

If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,npi] , then value/values of n is/are (n in N) 5 (b) 3 (c) 4 (d) 6