Prove that = (1-cos²A).sec²B + tan²B (1-sin²A)=sin²A + tan²B
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Step-by-step explanation:
(1 - cos²A) sec²B + tan²B (1-sin²A) = sin²A + tan²B
- 1 - cos²A = sin²A
sin²A sec²B + tan²B - tan²A sin²A = sin²A + tan²B
sin²A ( sec²B - tan²A ) + tan²B = sin²A + tan²B
- sec²B - tan²A = 1
sin²A + tan²B = sin²A + tan²B
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