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Formula Questions and Answer: What is the formula of sin(A-B) in Trigonometry 2021

What is the formula of sin(A-B) in Trigonometry 2021
Formula in Trigonometry

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