Question

if sinA + cosA = 2, then
find the value of Sin²A + cosec ²A​

Answer 1

Answer:

2

Step-by-step explanation:

sinA + cosecA = 2

Squaring  on both sides

(sinA + cosecA)² = 2²

sin²A + cosec²A + 2 sinA cosecA = 4

sin²A + cosec²A = 4 - 2 sinAcosecA        (Since cosec A = 1/sinA)

sin²A + cosec²A = 4 -2  

∴ sin²A + cosec²A = 2