Home
Class 10
MATHS
If A, B and C are interior angles of a t...

If A, B and C are interior angles of a triangle ABC, then show that `sin((B+C)/2)=cosA/2`.

Text Solution

Verified by Experts

The correct Answer is:
`cos""(A)/(2)`
Promotional Banner

Topper's Solved these Questions

  • BOARD QUESTION PAPER (SOLVED) - 2019

    MBD -HARYANA BOARD|Exercise SET - A (SECTION - C)|4 Videos

  • BOARD QUESTION PAPER (SOLVED) - 2019

    MBD -HARYANA BOARD|Exercise SET - A (SECTION - D)|4 Videos

  • BOARD QUESTION PAPER (SOLVED) - 2019

    MBD -HARYANA BOARD|Exercise (SECTION - D)|2 Videos

  • ARITHMETIC PROGRESSION

    MBD -HARYANA BOARD|Exercise SHORT ANSWER TYPES QUESTIONS|18 Videos

  • CO-ORDINATE GEOMETRY

    MBD -HARYANA BOARD|Exercise SHORT ANSWER TYPE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

If A,B and C are interior angles of a triangle ABC, then show that sin((B+C)/(2))=cos(A)/(2)

if A, B and C are interior angles of a triangle ABC, then show that cos((B+C)/2) = sin (A/2)

If A,B and C are the interior angles of a triangle ABC, then show that cot((A+B-C)/(2))=tan C

If A,B and C are the interior angles of a triangle ABC, then show that cot((A+B-C)/(2))=tan C

(i) A,B and C are interior angles of a triangle ABC.Show that sin((B+C)/(2))=cos((A)/(2)) . (ii) If angleA=90^(@) , then find the value of tan((B+C)/(2)) .

If A,B and C are the interior angles of triangle ABC, find tan((B+C)/(2))

If A,B,C are the interior angles of a triangle ABC, prove that (tan(B+C))/(2)=(cot A)/(2)

If A,B,C are the interior angles of a triangle ABC, prove that tan((C+A)/(2))=(cot B)/(2)( ii) sin((B+C)/(2))=(cos A)/(2)

If A, B, C are angle of a triangle ABC, then the value of the determinant |(sin (A/2), sin (B/2), sin (C/2)), (sin(A+B+C), sin(B/2), cos(A/2)), (cos((A+B+C)/2), tan(A+B+C), sin (C/2))| is less than or equal to

In any triangle ABC, show that: 2a sin((B)/(2))sin((C)/(2))=(b+c-a)sin((A)/(2))