Question

If sec 0+tan 0=p, then find the values of cos 0 and cot0​

Answer 1

ANSWER

Given secθ+tanθ=p

as we know that

sec

2

θ−tan

2

θ=1⟹(secθ−tanθ)(secθ+tanθ)=1⟹secθ−tanθ=

p

1

So secθ=

2

1

(p+

p

1

)=

2p

p

2

+1

,tanθ=

2

1

(p−

p

1

)=

2p

p

2

−1

cosecθ=

sinθ

1

=

cosθ

sinθ

cosθ

1

=

tanθ

secθ

=

2p

p

2

−1

2p

p

2

+1

=

p

2

−1

p

2

+1