Home
Class 11
MATHS
Prove that: (cos(A-B)+sinA-cos(A+B))/(...

Prove that:
`(cos(A-B)+sinA-cos(A+B))/(sin(A+B)+cosA-sin(A-B))=tanA`

Text Solution

AI Generated Solution

To prove that \[ \frac{\cos(A-B) + \sin A - \cos(A+B)}{\sin(A+B) + \cos A - \sin(A-B)} = \tan A, \] we will simplify the left-hand side (LHS) step by step. ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3A|12 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3B|24 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

Prove that: (sin(A+B)-2sinA+sin(A-B))/(cos(A+B)-2cosA+cos(A-B))= tanA

Prove that: sin(A+B)+cos(A-B)=(sinA+cosA)(sinB+cosB)

Prove that: (sin(A+B)+"sin"(A-B))/(cos(A+B)+"cos"(A-B))=t a n A

Prove that: sin(A+2B)sinA-sinBsin(2A+B)sinB=sin(A+B)sin(A-B)

Prove that: (sin(A-C)+2sinA+sin(A+C))/(sin(B-C)+2sinB+sin(B+C))=(sinA)/(sinB)

Prove that: sin(B-C)cos(A-D) + sin(C-A) cos (B-D) + sin(A-B) cos(C-D) = 0

Solve sinA.cos(A-B)-cosA.sin(A-B)

Prove that: a) sin(A+B+C) + sin(A-B-C)+sin(A+B-C) + sin(A-B+C) = 4sinAcosBcosC b) cos(A+B+C)+cos(A+B-C)+cos(B+C-A)+cos(C+A-B)=4cosAcosBcosC

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

Prove that: (cos5A+cos3A+cosA)/(sin5A-sin3A+sinA)=cotA