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Take the LCM of (1+sinA) and CosA
cosA. cos A + (1+sinA)²
____________________
(1+sinA) CosA
Cos²A+1+sin²A+2sinA
__________________
(1+sinA) CosA
1+1+2sinA
_________
(1+sinA) cosA
2+2sinA
____________
(1+sinA) cosA
2(1+sinA)
________
(1+sinA) cosA
= 2/cosA
= 2 secA
Hope this helps you out.
cosA. cos A + (1+sinA)²
____________________
(1+sinA) CosA
Cos²A+1+sin²A+2sinA
__________________
(1+sinA) CosA
1+1+2sinA
_________
(1+sinA) cosA
2+2sinA
____________
(1+sinA) cosA
2(1+sinA)
________
(1+sinA) cosA
= 2/cosA
= 2 secA
Hope this helps you out.
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