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The sum formula for sines states that the sine of the sum of two angles equals the product of the sine of the first angle and cosine of the second angle plus the product of the cosine of the first angle and the sine of the second angle.

Notice that we can write 150° as the sum 90° + 60°, so we have the following: sin(150°) = sin(90° + 60°) = sin(90°)cos(60°) + cos(90°)sin(60°)

There are 4 important product to sum formulas. sin A cos B = (1/2) [ sin (A + B) + sin (A - B) ] cos A sin B = (1/2) [ sin (A + B) - sin (A - B) ] cos A cos B = (1/2) [ cos (A + B) + cos (A - B) ] sin A sin B = (1/2) [ cos (A - B) - cos (A + B) ]

By the Product of a Sum and a Difference, (a+b)(a+(?b))=a2?b2 .

Sum to Product Identities and Product to Sum Formulas - YouTube YouTube Start of suggested clip End of suggested clip So the equation that we need is this one sine a times sine b is equal to one half times uh cosine aMoreSo the equation that we need is this one sine a times sine b is equal to one half times uh cosine a minus b. Minus cosine a plus b. So this type of formula is called product to sum.

How to remember trigonometry product to sum formula ... - YouTube YouTube Start of suggested clip End of suggested clip Plus sine of a minus B. And this is equal to right hand side. Plus term minus term get cancelledMorePlus sine of a minus B. And this is equal to right hand side. Plus term minus term get cancelled this is 2 times 2 times sine a into cos B. We get equation number three when you're adding.

Sum and Difference Identities & Formulas - Sine, Cosine, Tangent YouTube Start of suggested clip End of suggested clip And how to use them in a particular. Problem. So let's start with the sine. Function sine a plus bMoreAnd how to use them in a particular. Problem. So let's start with the sine. Function sine a plus b is equal to sine a cosine b plus cosine a sine b and there's another one sine a minus b.