Question

(i) If tan^2 x = 2 tan^2 y + 1, show that cos 2x + sin^2 y = 0.
​

Answer 1

Answer:

Given,

tan

2

x=1+2tan

2

y …..(1)

Now,

cos2y

=(

1+tan

2

y

1−tan

2

y

)

=

1+

2

(tan

2

x−1)

1−

2

(tan

2

x−1)

=

1+tan

2

x

3−tan

2

x

=

1+tan

2

x

(1+tan

2

x)+2(1−tan

2

x)

=(1+2cos2x).

Step-by-step explanation:

answer by google

from toppr website