Question

if tan theeta =3/4 find the value of (1-cos^2 theeta/1+cos^2 theeta)​

Answer 1

Answer:

9 / 41 .

Step-by-step explanation:

Given :

tan Ф = 3 / 4

We know :

tan Ф = P / B

Also :

H² = P² + B²

H = √ P² + B²

H = √ 16 + 9

H = √ 25

H  = 5 .

Now :

1 - cos² Ф / 1 + cos² Ф

= > ( 1 - ( B / H )² ) / ( 1 + ( B / H )² )

= > ( 1 - 16 / 25 ) / ( 1 + 16 / 25 )

= > ( 9 / 25 ) / ( 41 / 25 )

= > 9 / 41 .

Therefore , the value of ( 1 - cos² Ф / 1 + cos² Ф ) is 9 / 41 .

Answer 2

Step-by-step explanation:

1.first apply the formula

1 + tan2theeta = sec2theeta

2. then you'll get sectheeta

3. then ull also get costheeta

4. put the values in the given question