Question

convert sin75⁰-sin15⁰ into product​

Answer 1

Answer:

convert sin 75-sin15 into product

Answer 2

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• convert sin75⁰-sin15⁰ into product

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$\frac{1}{ \sqrt{2} }$

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1. sinA + sinB = 2 sin[(A+B)/2]*cos[(A-B)/2].
2. sinA - sinB = 2 sin[(A-B)/2]*cos[(A+B)/2].
3. cosA + cosB = 2cos[(A+B)/2]*cos[(A-B)/2].
4. cosA - cosB = -2sin[(A+B)/2]*sin[(A-B)/2]

$sin75⁰-sin15⁰$

$2 \: sin \: \frac{(a - b)}{2} \times cos \: \frac{(a + b)}{2}$

$2 \: sin \frac{75⁰ - 15⁰}{2} \times cos \: \frac{75⁰ + 15⁰}{2}$

$2 \: sin \: \frac{60⁰}{2} \times cos \: \frac{90⁰}{2}$

$2 \: sin30⁰ \times cos45⁰$

$2 \times \frac{1}{2} \times \frac{1}{ \sqrt{2} }$

$\frac{1}{ \sqrt{2} }$

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