Show the identity using sum-to-product trigonometric identities.

To show the given identity, we will use the sum-to-product trigonometric identities. Step 1: State the sum-to-product identities. The relevant identities are: cos X + cos Y = 2 cos ((X+Y)/(2)) cos ((X−Y)/(2)); sin X + sin Y = 2 sin ((X+Y)/(2)) cos ((X−Y)/(2)) Step 2: Apply the identity to the numerator. Let X = 6B and Y = 2B.

Show the identity using sum-to-product trigonometric identities.

To show the given identity, we will use the sum-to-product trigonometric identities. Step 1: State the sum-to-product identities. The relevant identities are: cos X + cos Y = 2 cos ((X+Y)/(2)) cos ((X−Y)/(2)); sin X + sin Y = 2 sin ((X+Y)/(2)) cos ((X−Y)/(2)) Step 2: Apply the identity to the numerator. Let X = 6B and Y = 2B.

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To show the given identity, we will use the sum-to-product trigonometric identities.

Show the identity using sum-to-product trigonometric identities.

Answer

Step-by-step solution

State the sum-to-product identities.

Apply the identity to the numerator.

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