ICSE Class X Math 2016 Solved Paper | Question 51

ICSE Class X Math 2016 Solved Paper

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Question : 51

Total: 57

Prove that : ‌

cos‌A

1+sin‌A

+tan‌A= secA .

Solution:

‌ L.H.S. ‌‌=‌

cos‌A

1+sin‌A

+tan‌A
‌=‌

cos‌A

1+sin‌A

+‌

sin‌A

cos‌A

‌=‌

cos2A+sin‌A(1+sin‌A)

(1+sin‌A)‌cos‌A

‌=‌

cos2A+sin‌A+sin‌2A

(1+sin‌A)(cos‌A)

‌=‌

1+sin‌A

(1+sin‌A)‌cos‌A

‌=‌

1

cos‌A

‌= secA=‌ R.H.S. ‌

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