Question

tan square theta equal to 1 by 7 then the value of 1 + sin theta into 1 minus sin theta by 1 + cos theta into 1 minus cos theta​

Answer 1

Answer:

Step-by-step explanation:

Hypotenuse=√50

Sin=1/√50

Cos=7/√50

1+sin×1-sin/1+cos×1-cos

1-sin^2/1-cos^2(sin +cos=1)

Cos^2/sin^2

Answer 2

Answer:

7

explanation:

(1+sinФ)(1-sinФ) / (1+cosФ)(1-cosФ)

considering numerator

(1+sinФ)(1-sinФ) = 1 -sin²Ф = cos²Ф

considering denominator

1+ cos theta =2 cos²Ф/2

and 1 -cos theta =2 sin²Ф/2

thus the equation becomes

cos square theta/( 2 sinФ/2 cosФ/2)²

using formula 2 sinx cosx = sin2x

we get

cos²Ф/sin²Ф

=cot²Ф

we know that cot²Ф =1/ tan²Ф

and tan²Ф = 1/7

hence cot²Ф = 7

and answer = 7