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Vanyuwa
[196]
3 years ago
6
Verify the identity. cosine of x divided by quantity one plus sine of x plus quantity one plus sine of x divided by cosine of x
equals two times secant of x.
Mathematics
Answer
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1
answer:
DanielleElmas
[232]
3 years ago
3
0
Cos(x)/(1+sin(x) + (1+sin(x))/cos(x)=
cos²(x)/cos(x)(1+sin(x)) + (1+sin(x))²/cos(x)(1+sin(x))=
cos²(x)+1+2sin(x)+sin²(x) /cos(x)(1+sin(x))=
2+2sin(x) / cos(x)(1+sin(x))=
2(1+sin(x)) / cos(x)(1+sin(x))=
2/cos(x)=
2*sec(x)
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