Question

help me please answer with process fast​

Answer 1

Answer:

tan 245+ tan 335/tan 205- tan 115 is -1

Step-by-step explanation:

the given expression is

tan 245+ tan 335/tan 205 - tan 115

the find the value of above terms we will use quadrant concepts of trigonmetry

the function tan is positive in first and third quadrant and the function remains the same for angle 180 and 360 degrees write the angles in the sum of either 180 or 360 degree

tan (245)= tan (180+65)= tan (65)

tan (335)= tan (360-25)= - tan (25)

tan (205)= tan (180+25)= tan (25)

tan (115)= tan (180 -65)= - tan(65)

put these values in the given expression

tan (65)+ (-tan (25))/tan (65) - tan (65)= 0-1= -1

therefore the value of

tan 245+tan335/tan205 - tan 115 is -1