3 years ago

If tanx=-4/3 and x is in quadrant 2 then cos2x=? A. 7/25 b. -3/5 c. -7/25 d. 3/5

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

3 0

= (1 - tan^2 (x)) / (1 + tan^2 (x))

= (1 - (-4/3)^2) / (1 + (-4/3)^2)

= (1 - (16/9)) / (1 + (16/9))

= (9 - 16) / (9 + 16) [By multiplying numerator and denominator with 9]

= (-7) / (25)

= -7/25

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