1 + sin theta by cos theta + cos theta by 1 + sin theta is equals to 2 sec theta prove it
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Answer:
If this is not understandable...
then writing it also...
Explanation:
Taking LCM of LHS
= (1+ Sin²∅)² + Cos²∅/Cos∅(1+sin∅)
= 1 + sin²∅ + 2sin∅ + Cos²∅/Cos∅(1+sin∅)
[Sin²∅+Cos²∅ = 1]
= 1+1+2Sin∅/Cos∅(1+sin∅)
= 2+2sin∅/Cos∅(1+sin∅)
Taking 2 as common
= 2(1+sin∅)/Cos∅(1+sin∅)
Sin∅ got cancelled as they are in fraction...
= 2 × 1/Cos∅
= 2Sec∅
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