Home
Class 10
MATHS
If sin(A+B+C)=1, tan(A-B)=(1)/(sqrt(3)) ...

If `sin(A+B+C)=1`, `tan(A-B)=(1)/(sqrt(3))` and `sec(A+C)=2` , then find A, B and C respectively, when they are acute angles.

A

`60^(@),0^(@),30^(@)`

B

`30^(@),60^(@),90^(@)`

C

`60^(@)`,`30^(@)`,`0^(@)`

D

`0^(@)`, `60^(@)`, `30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • IMO QUESTION PAPER 2019 SET A

    SCIENCE OLYMPIAD FOUNDATION |Exercise Everday mathematics|10 Videos
  • IMO QUESTION PAPER 2019 SET A

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers section|5 Videos
  • IMO QUESTION PAPER 2018 SET B

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION|5 Videos
  • IMO QUESTION PAPER 2019 SET B

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION |5 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC, prove that tan A+tan B+tan C>=3sqrt(3), where A,B,C are acute angles.

Prove that in ABC,tan A+tan B+tan C>=3sqrt(3) where A,B,C are acute angles.

If sin A=(1)/(sqrt(10)) and sin B=(1)/(sqrt(5)), where A and B are positive acute angles,then A+B is equal to

Prove that in Delta ABCtan A+tan B+tan C>=3sqrt(3); where A;B;C are acute angles.

If the angle A,B and C of a triangle are in an arithmetic propression and if a,b and c denote the lengths of the sides opposite to A,B and C respectively,then the value of the expression (a)/(c)sin2C+(c)/(a)sin2A is (1)/(2)(b)(sqrt(3))/(2) (c) 1(d) sqrt(3)

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.

Find acute angles A and B ,if sin(A+2B)=(sqrt(3))/(2) and cos(A+4B)=0,A>B

Calculate A+B when tan A=(2)/(3) and tan B=(3)/(2) if it is given that tan(A+B)=(tan A+tan B)/(1-tan A tan B) where A and B are acute angles.

In a Delta ABC right angled at C, if tan A=(1)/(sqrt(3)), find the value of sin A cos B+cos A sin B