Question

solve for aproximately tan(π/4 + 6) = 1.001
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Answer 1

tan(π/4 + 6)

(tan π/4 + tan 6)/ (1 - tam π/4 . tan 6)

(1 + tan6)/(1 - tan6)

(1 + sin6/cos6) / (1 - sin6/cos6)

(cos6 + sin6)/cos6 ÷ (cos6 - sin6)/cos6

(cos6 + sin6)/(cos6 - sin6)

Rationalizing the denominator

(cos6 + sin6)/(cos6 - sin6) × (cos6 + sin6)/(cos6 + sin6)

(cos6 + sin6)² / (cos²6 - sin²6)

(cos²6 + 2cos6.sin6 + sin²6)/ cos12

(1 + sin12)/cos12

1/cos12 + sin12/cos12

sec12 + tan12

1.18 + (-0.635) = 0.545 is Answer

Therefore

tan(π/4 + 6) = 0.545 is Answer

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