Question

prove that cosec10-√3sec10=4

Answer 1

✴Hi,
ℹHere is the answer to your query:-

✅cosec10-root3 sec10=4

✅LHS=1/sin10 - root3/cos10

✅=(cos10-root3 sin10)/sin10.cos10

✅=2(1/2.cos10-root3/2.sin10)/{1/2(2sin10.cos10)}

✅=2 (sin30.cos10-cos30.sin10)/(1/2sin20)

✅=4sin (30-10)/sin20

✅=4sin20/sin20=4=RHS

LHS=RHS
HENCE PROVED

✔THANKS
@SHIVAM