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NISA [10]
3 years ago
15

Use the diagram to complete the statements about how to prove the cosine sum identity. A unit circle. Point P is on the circle o

n the x-axis at (1, 0). Point S is in quadrant 4 on (cosine (negative beta), sine (negative beta) ). Point Q is in quadrant 1 above point P at (cosine (alpha), sine (alpha) ). Point R is above point Q at (cosine (alpha + beta), sine (alpha + beta) ). Triangles AOC and BOD are congruent by SAS. Therefore, and these lengths can be found using the . Because this is the unit circle, the coordinates of points A, B, and D are equal to cosine and sine of Alpha + Beta , Alpha, and –β, respectively. Write expressions for the lengths and set them equal. Rewrite cos(-Beta) and sin(-Beta) using the identities before squaring both sides of the equation. Simplifying the resulting expressions involving cosine and sine of Alpha, Beta, and Alpha + Beta requires using the identity. When simplified, the equation becomes cos(Alpha + Beta) = cos(Alpha)cos(Beta) - sin(Alpha)sin(Beta).

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0

Answer:

AC=BD

distance formula

Pythagorean identity

Step-by-step explanation:

just did it on edge

ozzi3 years ago
5 0

Answer:

Step-by-step explanation:

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A circle with radius of 3cm sits inside a 8 cm x 7cm rectangle what is the area of the shaded region?
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You have to say which one is the shaded region the circle or the rectangle

Step-by-step explanation:

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