Question

prove that:(1- sin square theta into sec square theta is equals to)= 1 ​

Answer 1

Answer:

(1-sin² theta) (sec² theta) =1

LHS=

(1-sin² theta) (sec² theta)

=(cos² theta) (sec² theta)

=(cos² theta) (1/cos² theta)

cos² theta and cos² theta get cancelled...

So you will get 1 which is equal to RHS

Hence proved

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Answer 2

Question:

To show : ( 1 - sin²Ø ) (sec²Ø) = 1

Solution:

since, LHS = ( 1 - sin²Ø) (sec²Ø)

=> LHS = cos²Ø x sec²Ø [ 1- sin²Ø = cos²Ø]

=> LHS = cos²Ø x 1/cos²Ø [ secØ = 1/cos²Ø]

=> LHS = 1

=> LHS = RHS

----------------------------‡Hence Proved‡----------------------

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