Question

() Complete the following activity to proves
LIIS - Team
+
(1 + sin X1-sin)
sino
Using identity
- 2sec²0
(By reciprocal
RHS.
नवनीत SEMI-ENGLISH मराव प्रश्नपत्रिका: इयत्ता दहावी​

Answer 1

Answer:

Taking

LHS=

1+sinθ

1

+

1−sinθ

1

=

(1+sinθ)(1−sinθ)

1−sinθ+1+sinθ

using identity

(a

2

−b

2

) =

(a+b)(a−b)

=

(sinθ)

2

1 2

2

=

1−sin

2

θ

2

=

cos 2

2

[∵cos

2

θ+sin

2

θ=1]

=

2sec

2

θ=

RHS