Math, asked by ritikagupta5286, 11 months ago

If sec theta plus tan theta is equal to p then valus of cosec theta

Answers

Answered by gagan4163
0

Answer:

The answer is.

( {p}^{2}  + 1  ) \div ( {p}^{2}  - 1)

Step-by-step explanation:

sec theta + tan theta =p. (given) (equation1)

we know that

 {sec}^{2} theta \:  -  {tan}^{2} theta = 1

(sec theta + tan theta)(sec theta -tan theta)=1

p(sec theta -tan theta)=1

sec theta -tan theta =1/p. (equation2)

add equation 1and 2we get

2sec theta =(1+p^2)/ p

sec theta = (1+p^2)/2p

so cosec theta =(p^2+1)/(p^-1)

Answered by Anonymous
3

Step-by-step explanation:

Given : secθ + tanθ = p . . . . ( 1 ) We know , sec 2 θ - tan 2 θ = 1 secθ + tanθ = 1 secθ.

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