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Tan32+tan13+tan32tan13=1

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Tan32+tan13+tan32tan13=1

  • 1 answers

Rashmi Bajpayee 8 years, 9 months ago

tan 32o + tan 13o + tan 32o.tan13o = 1

tan 32<font size="2">o</font> + tan 13<font size="2">o</font> = 1 - tan 32<font size="2">o</font>.tan13<font size="2">o</font>

(tan 32<font size="2">o</font> + tan 13<font size="2">o)/(</font>1 - tan 32<font size="2">o</font>.tan13<font size="2">o</font><font size="2">) = 1</font>

<font size="2">tan (32o + 13o) = 1                                        [Since tan (A + B) = (tan A + tan B)/(1 - tan A. tan B)]</font>

<font size="2">tan 45o = 1</font>

<font size="2">1 = 1                                                            [Since tan 45o = 1]</font>

<font size="2">Hence proved.</font>

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