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What is the value of cos15 cos45 - sin15 sin45

please help me!

User Tim Weber
by
2.4k points

2 Answers

17 votes
17 votes

Answer:

(solving sin)

= sin15 sin45

= (√6 - √2)/4 * (√2) / 2

= (-1 + √3) / 4

(Subtracting both)

= (1 + √3) / 4 - (-1 + √3) / 4

= 1/2

Explanation:

User Seann
by
3.3k points
17 votes
17 votes

Answer:

1/2

Explanation:

(Solving cos first)

= cos15 cos 45

= (√6 + √2)/4 * (√2) / 2

= (1 + √3) / 4

(solving sin)

= sin15 sin45

= (√6 - √2)/4 * (√2) / 2

= (-1 + √3) / 4

(Subtracting both)

= (1 + √3) / 4 - (-1 + √3) / 4

= 1/2

I hope my answer helps you.

User Melvynx
by
2.6k points