Home
Class 12
MATHS
If A+B=45^@ then (1+tanA)(1+tanB)=...

If `A+B=45^@` then `(1+tanA)(1+tanB)=`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Similar Questions

Explore conceptually related problems

In DeltaABC if m angle C = 90^@ than tanA + tanB = ......(where a,b,c are sides opposite to angles A, B, C respectively).

By using above basic addition/ subtraction formulae, prove that (i) tan (A+B)=(tan A+tan B)/(1-tan A tan B) , (ii) tan (A-B)=(tan A-tanB)/(1+tan A tan B) (iii) sin2theta=2sintheta costheta , (iv) cos2theta=cos^(2)theta=1-2sin^(2)theta=2cos^(2)theta-1 (v) tan 2theta=(2 tan theta)/(1-tan^(2) theta)

If y=(1+tanA)(1-tanB)andA-B=(pi)/(4) then (y+1)^(y+1) = …………

If A,B and C are the angle of a non-right angled Delta ABC the value of |{:(tanA,1,1),(1,tanB,1),(1,1,tanC):}| is

If A and B are acute angles such that tanA=1/2,tanB=1/3 and tan(A+B)=(tanA+tanB)/(1-tanAtanB) , find A+B

Prove that, (tanA+tanB)/(tanA-tanB)=(sin(A+B))/(sin(A-B))

If tanA=(1-cosB)/(sinB) , then tan2A = …………

Show that ((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1- tanA )/( 1-cot A ))^(2)= tan ^(2) A

If A(-5, 7), B(-4, -5) , C(-1, -6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD

e_(1) and e_(2) are eccentricities of conies 5x^(2) + 9y^(2) = 45 and 5x^(2) - 4y^(2) = 45 then e_(1) .e_(2) = ……….