Question

if cos tita=22/122,find tan tita and cot tita.​

Answer 1

Step-by-step explanation:

Explanation:

As

cot

θ

=

11

and theta is in third quadrant and sine and cosine ratios are negative.

tan

θ

=

1

11

,

csc

θ

=

−

√

1

+

11

2

=

−

√

122

hence,

sin

θ

=

−

1

√

122

and

cos

θ

=

sin

θ

tan

θ

=

−

1

√

122

1

11

=

−

11

√

122

Hence,

sin

2

θ

=

2

sin

θ

cos

θ

=

2

×

−

1

√

122

×

−

11

√

122

=

22

122

=

11

61

and

cos

2

θ

=

2

cos

2

θ

−

1

=

2

×

121

122

−

1

=

242

−

122

122

=

120

122

=

60

61

and

tan

2

θ

=

sin

2

θ

cos

2

θ

=

11

60