Prove sin(z1-z2)=sinz1cosz2-cosz1sinz2 by using Euler's formula.
Shreya singh , 5 Years ago
Grade 12th pass
Trigonometry> Prove sin(z1-z2)=sinz1cosz2-cosz1sinz2 by...
1 Answers
Rajat
Last Activity: 5 Years ago
(sinAcosB-sinBcosA) = 1/4[(e^iA-e^-iA)(e^iB+e^-iB)-(e^iB-e^-iB)(e^iA+e^-iA)]
=1/4[2e^i(A-B) - 2e^i(B-A)]
=1/2[ 2sin(A-B)]
= sin(A-B)
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available
Last Activity: 2 Years ago
Find the general solution of equation tan3∂=cot2∂For all angles between -720 and +720
trigonometry
0 Answer Available
Last Activity: 2 Years ago
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available
Last Activity: 2 Years ago
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available
Last Activity: 2 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
0 Answer Available
Last Activity: 2 Years ago