Math, asked by prahalladnkaranth, 8 months ago

ɢɪᴠᴇɴ ᴛᴀɴ ᴀ = 4/3, ꜰɪɴᴅ (ᴄᴏꜱᴇᴄ ᴀ)/(ᴄᴏꜱ ᴀ-ꜱᴇᴄ ᴀ)​

Answers

Answered by Somi99
2

Answer:

-75/64

Step-by-step explanation:

  • tan A=4/3
  • we know sec^2 A= 1+tan^2 A

So sec A= √(1+16/9)=√(25/9) =5/3

  • cos A=1/sec A = 3/5
  • Now sin A/cos A =4/3 (Given) so
  • sin A = 4/5
  • Cosec A=1/sin A=5/4
  • Therefore (Cosec A)/(cos A-sec A) = (5/4)/{(3/5)-(5/3)} = -75/64

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