Question

tan17°=x then tan 163°-tan107°÷1+tan163°tan107°=?

Answer 1

tan 17 = x

tan 163 == tan(180-17) => -tan 17
tan 107 == tan(180-73) => -tan 73

now

tan 107 - tan 163/1+ tan 107 tan 163

=> tan 17 -tan 73/ 1 +tan73tan17( since cot 73 = x .so tan 73 = 1/x)
=> -x +1/x/1+1

=> 1-x^2/2x
will be the answer.

Answer 2

Answer:

tan 17 = x

tan 163 == tan(180-17) => -tan 17

tan 107 == tan(180-73) => -tan 73

now

tan 107 - tan 163/1+ tan 107 tan 163

=> tan 17 -tan 73/ 1 +tan73tan17( since cot 73 = x .so tan 73 = 1/x)

=> x +1/x/1+1

=> 1+x^2/2x

will be the answer.

Step-by-step explanation: