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Prove that tan15°+cot15°=4.

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Prove that tan15°+cot15°=4.

    • Posted by Vanshika Thakur 6 years, 9 months ago

    CBSE > Class 11 > Mathematics
    • 2 answers

    Shahnaaz Khatun 6 years, 9 months ago

    L.h.s tan15+cot15=>(tan15.tan15+1)/tan15 =>(sec15.sec15 )/tan15=>sec15/sin15 =>1/(sin15.cos15)=>2/sin30=>4. (Proven )

    0Thank You

    Aman Kumar 6 years, 9 months ago

    tan15°+cot15° =sin15°/cos15°+cos15°/sin15° =sin^215°+cos^215°/cos15°×sin15° (L.C.M) =1/cos15°×sin15° =1/cos(45°—30°)×sin(45°—30°) Now on further eleborating it, you will get your desired answer.

    0Thank You

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