Home
Class 14
MATHS
In an acute-angled triangle ABC if sin (...

In an acute-angled triangle ABC if sin `(B + C - A) = (sqrt3)/2` and `tan (C+A-B) = 1`, then C is equal to

A

`37.5^(@)`

B

`67.5^(@)`

C

`5.25^(@)`

D

`72.5^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

In an acute angled triangle ABC, if tan(A+B-C)=1 and ,sec(B+C-A)=2, find the value of A,B and C.

In an acute angled triangle ABC,if (tan A)/(2)=(tan B)/(3)=(tan C)/(5) then /_ABC is equal to

In the triangle ABC if sin C cos15^(@)cos A+sin15^(@)sin A=1 then sin C+tan A tan B is equal to

In an acute angled DeltaABC,sec(B+C-A)=2 and tan(C+A-B)=(1)/(sqrt3) . Find the three angles of DeltaABC.

In an acute angled Delta ABC, if 'tan(A+B-C)=1 and sec(B+C-A)=2 and . Then value of A is:

In a triangle ABC,if A=30^(@) and (b)/(c)=(2+sqrt(3)+sqrt(2)-1)/(2+sqrt(3)-sqrt(2)+1) then C, is equal to

Let ABC be an acute-angled triangle and let D be the midpoint of BC. If AB = AD, then tan(B)/tan(C) equals

In Delta ABC if sin B cos C=(sqrt(3)-1)/(sqrt(3)) and sin C cos B=(1)/(sqrt(3)), then the triangle is