Question

if 29 cos a=21 find the value of tan a and cos a​

Answer 1

cos a = 21/29

Base / Hypotenuse = 21/29

Base = 21 , Hypotenuse = 29

${h}^{2} = {b}^{2} + {p}^{2}$

${29}^{2} = {21}^{2} + {p}^{2} \\ {p}^{2} = {29}^{2} - {21}^{2} \\ {p}^{2} = (29 + 21)(29 - 21) \\ {p}^{2} = 50 \times 8 \\ {p}^{2} = 400 \\ p = \sqrt{400} \\ p = 20$

B = 21 , P = 20. , H = 29

tan a = P/B

tan a = P/B = 20/21 Ans.

tan a = P/B = 20/21 Ans.cos a = B/H

tan a = P/B = 20/21 Ans.cos a = B/H = 21/29 Ans.

tan a = P/B = 20/21 Ans.cos a = B/H = 21/29 Ans.