Home
Class 12
MATHS
Which of the following is possible in De...

Which of the following is possible in `DeltaABC`?

A

`cosA+cosB+cosC=3/2`

B

`cosAcosBcosC=0`

C

`sinA+sinB+sinC=sqrt2+1`

D

`sinAsinBsinC=-3/8`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(1) `A = B=C=pi/3`
(2) Right angled triangle
(3) `A=B=pi/4,C=pi/2`
(4) Not possible as`sinA,sinB,sinCgt0`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Comprehension)|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Matrix)|3 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Single)|57 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC, if 2Delta a-b^(2)c=c^(3) , (where Delta is the area of triangle), then which of the following is possible ?

Consider f(x)=ax^(4)+cx^(2)+dx+e has no point o inflection Then which of the following is/are possible?

Which of the following phenotypes are possible in offspring from the parental combination A X O?

A charged particle moves in a gravity free space without change in velocity. Which of the following is/are possible?

Which of the following phenotypes is not possible in the progeny of the parental genotypic combination I^(A)I^(O)XI^(A)I^(B) ?

A charged particle moves along a circle under the action of possible constant electric and magnetic fields. Which of the following are possible?

Consider a collision between an argon molecule and a nitrogen molecule in a mixture of argon and nitrogen kept at room temperature. Which of the following are possible?