Question

prove tan40 tan45 tan 50 =1​

Answer 1

Answer:

Step-by-step explanation:

tan50=tan(40+10)

we have ,tan(a+b)=(tanA+tanB) (1-tanA tanB)

=tan(40+10)=(tan40+tan10)(1-tan40 tan10)

=tan50=(tan40+tan10)(1-tan40 tan10)

=tan50(1-tan40 tan10)=tan40+tan10.

=tan(1-tan40 tan10)=tan40+tan10.

=tan50-tan50 tan40 tan10=tan40+tan10

=and tan50 =tan(90-40)=cot40

=tan50-cot40 tan40 tan10 =tan40+tan10

=tan50-tan10=tan40+tan10

because cot40=1/tan 40

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Answer 2

Step-by-step explanation:

we can write tan 50 as cot 40

(90-tan) theta =cot theta

tan 40 will cancel cot 40

Since tan 45=1

LHS=RHS