Math, asked by bcoffeesujana, 7 months ago

tan 20° +tan 72°+tan 88°=tan 20°.tan 72°.tan 88°

Answers

Answered by sritarutvik

7

Step-by-step explanation:

tan 20° +tan 72°+tan 88°

since 20+72+88=180

20+72=180-88

tan(20+72)=tan(180-88)

(tan20+tan72 /(1-tan20tan88) = -tan88

since (tan(180-tita)= -tantita)

tan20+tan72= -tan88(1-tan20tan72tan88

tan20+tan72= -tan88+tan20tan72tan88

tan20+tan72+tan88=tan20tan72tan88

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