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Answer:
cscα=√2
Step-by-step explanation:
Problem: If sinα-cosα=θ find cscα
Solution:
sinα-cosα=θ
sinα=cosα
sinα=sin(90-α)
If α<90, then:
α=90-α
2α=90
α=45°
sin(45°)
1/sin(45°)
csc(45°)
√2
Therefore, cscα=√2 if sinα-cosα=θ