Home
Class 12
MATHS
x-y = pi/4 and cotx + coty=2...

`x-y = pi/4` and `cotx + coty=2`

Text Solution

Verified by Experts

`x = (5pi)/12,y = pi/6`
Promotional Banner

Topper's Solved these Questions

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Long Answer type questions|29 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|5 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|18 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Type )|6 Videos

Similar Questions

Explore conceptually related problems

cotx - cot2x =2

Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dcotx+coty=2

If x+y =pi/4 and tanx + tany=1 , then

If tan x - tany =a " and " coty - cotx =b, "prove that", 1/a +1/b = cot (x-y).

(i) Solve: cos(2x + 3y)=1/2, cos(3x+2y) = sqrt(3)/2 (ii) If 0 lt x lt pi, 0 lt y lt pi and cosx + cosy - cos(x+y)=3/2 , prove that x=y=pi/3 .

If x+y=pi/4 and tanx+tany=1, then

Find the area of the region bounded by the x-axis and the curves defined by y=tanx(w h e r e-pi/3lt=xlt=pi/3) and y=cotx(w h e r epi/6lt=xlt=(3pi)/2) .

Let f(x) be non- negative continuous function such that the area bounded by the curve y=f(x) , x- axis and the ordinates x= (pi)/(4) and x = beta ( beta gt (pi)/(4)) is beta sin beta + (pi)/(4) cos beta + sqrt(2) beta . Then the value of f((pi)/(2)) is-

If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(1/2-(pi^2)/(64)) (b) y= sqrt(1/2-(pi^2)/(64))-pi/(12) (c) x=pi/(12)+sqrt(1/2-(pi^2)/(64)) (d) y=sqrt(1/2-(pi^2)/(64))-pi/8

Solve [xsin^2(y/x)-y]dx+x dy=0; y=pi/4 when x=1.