Math, asked by charithar526, 9 months ago

tan 65 degrees - tan 20 degrees - tan 65 degrees tan 20 degrees

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Answered by Nivedita4209

3

Answer:

It is possible because its true.

Tan65=tan(25+40)

Tan65=(tan25+tan40)/1-tan25.tan40

Tan65(1-tan25.tan40)=tan25+tan40

Tan65-tan65.tan25.tan40=tan25+tan40

Tan65-tan(90–25).tan25.tan40=tan25+tan40

Tan65-cot25.tan25.tan40=tan25+tan40

Tan65-tan40=tan25+tan40

Tan65=tan25+2tan40.

Hence proved.

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