Question

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

Answer 1

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