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Solution 4.3:4e

From Förberedande kurs i matematik 1

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The addition formula for sine gives us that

sinv+4=sinvcos4+cosvsin4. 

Because we know from exercise b that sinv=1−b2  we use that cos(4)=sin(4)=12  to obtain

sinv+4=1−b212+b12. 
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