Home
Class 11
MATHS
If x+y=45^(@), then prove that: a) (1+t...

If `x+y=45^(@)`, then prove that: a) `(1+tanx)(1+tany)=2` b) `(cotx-1)(coty-1)=2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 5|4 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 6|3 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 3|3 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If x+y=45^(@) then prove that :(1+tan x)(1+tan y)=2(cot x-1)(cot y-1)=2

prove that- (1+tanx)/(1-tanx)=tan(45+x)

If A+B=45^(@) then prove that (1+tan A)(1+tan B)=2. On the basis of the result obtained prove that tan22.5^(0)=sqrt(2)-1

If y=sin(sinx) then prove that y_2+(tanx)y_1+ycos^2x=0

(tanx)^(y)=(tany)^(x)

If 5^(x)=3^(y)=45^(z), prove that (1)/(z)=(1)/(x)+(2)/(y)

Prove that- sin2x(tanx+cotx)=2

Solve the equation (1+tanx)/(1-tanx)=(1+sin2x)/(cos 2x) .

(1+cos4x)/(cotx-tanx)

If y=(tan^(-1)x)^(2), then prove that (1+x^(2))^(2)y_(2)+2x(1+x^(2))y_(1)=2