In this article, you going to see the discussion regarding What is the formula of sin(A-B) in Trigonometry 2021
Formula Questions and Answer: What is the formula of sin(A-B) in Trigonometry 2021
What is Formula of sin(A-B) in Trigonometry
sin(A-B)= sinAcosB-cosAsinB
What is sin(A-B)?
It is one of the important trigonometry formulas which helps in determining the compounding angle. It is also known as the sine difference formula. Its formula is explained above.
What is Formula of sin(A+B) in Trigonometry
Answer for the Formula of sin(A+B)
sin(A+B)= sinAcosB+cosAsinB
What is Formula of cos(A+B) in Trigonometry
Answer for the Formula of cos(A+B)
cos(A+B)=cosAcosB-sinAsinB
What is Formula of cos(A-B) in Trigonometry
Answer for the Formula of cos(A-B)
cos(A-B)=cosAcosB+sinAsinB
What is sin(a+b)-sin(a-b) in Trigonometry
Below is the answer for sin(a+b)-sin(a-b).
sin(a+b)-sin(a-b)
=(sinacosb+cosasinb)-(sinacosb-cosasinb)
=2cosasinb
sin(a+b)-sin(a-b) formula
sin(a+b)-sin(a-b) = 2cosasinb
As sin(a+b) : (sinacosb+cosasinb),
And sin(a-b) : (sinacosb-cosasinb),
After solving both the term you will get as above.
2cosasinb OR 2cosAsinB
cos(a+b)-cos(a-b)
Solution :
As cos(a+b) = cosacosb-sinasinb
And cos(a-b) = cosacosb+sinasinb
cos(a+b)-cos(a-b)
cosacosb-sinasinb-cosacosb-sinasinb
= 2sinasinb
What is the formula for sinA+sinB in Trigonometry
formula for sinA+sinB is given below
sinA+sinB = 2sin(a+b)/2cos(ab)/2
2 sin a sin b formula
Complete solution is explained above.
2 sin a sin b = cos(a+b)-cos(a-b)
as cos(a+b) = cosacosb-sinasinb
and cos(a-b) = cosacosb+sinasinb