Question

if tan=5/12,find the value of cos-sin/cos+sin​

Answer 1

Answer:

From SOH-CAH-TOA, we know sine is equal to the opposite side over the hypotenuse. This means that sinx=513 . We also know that cosine is equal to the adjacent side over the hypotenuse. Thus, cosx=1213 .

Answer 2

Answer:

7/17

Step-by-step explanation:

tan = opposite/adjacent = 5/12

ie,

opposite side = 5

adjacent side = 12

hypotenuse   = √[opposite²+adjacent²]

                     = √5²+12²

                     = √25+144

                     = √169 = 13

sin  = opposite/hypotenuse = 5/13

cos = adjacent/hypotenuse = 12/13

cos-sin = 12/13 - 5/13 = 12-5 / 13 = 7/13

cos+sin = 12/13 + 5/13 = 12+5 / 13 = 17/13

cos-sin/cos+sin​ = 7/13 ÷ 17/13

                        = 7/13x13/17

                        = 7/17