Question

2x If cos A= 1 + x2 then find the values of sinA and tan A in terms of x. a​

Answer 1

Answer:

Solution

verified

Verified by Toppr

cosA=

1+x

2

2x

sinA=

1−cos

2

A

sinA=

1−(

1+x

2

2x

)

2

=

1−

(1+x

2

)

2

4x

2

=

(1+x

2

)

2

1+x

4

+2x

2

−4x

2

=

(1+x

2

)

2

(1−x

2

)

2

=

(1+x

2

)

(1−x

2

)

tanA=

cosA

sinA

=

2x

1−x

2

.