ICSE Class X Math 2013 Solved Paper | Question 25

ICSE Class X Math 2013 Solved Paper

© examsnet.com

Question : 25

Total: 46

Show that √‌

1−cos‌A

1+cos‌A

=‌

sin‌A

1+cos‌A

Solution:

‌ L.H.S. ‌=√‌

1−cos‌A

1+cos‌A

Multiplying by √1+cos‌A in numerator and denominator
‌=√‌

1−cos‌A

1+cos‌A

×√‌

1+cos‌A

1+cos‌A

‌=√‌

(1−cos‌A)(1+cos‌A)

(1+cos‌A)(1+cos‌A)

‌=√‌

1−cos2A

(1+cos‌A)2

=√‌

sin‌2A

(1+cos‌A)2

‌=‌

sin‌A

1+cos‌A

=‌ R.H.S. ‌

© examsnet.com

Go to Question:

Prev Question

Next Question