Question

Select the correct option 1/ secθ - tanθ =? 
a. secθ - tanθ
b. tanθ - secθ
c. secθ + tanθ​

Answer 1

Answer:

Trigonometry:

Trigonometry is the study of relations between angles and their ratios with various properties to find sine, cosine, tan, cosec, sec and cot ratios. Some properties can deduce angles in their general value apart from known definite ones. Now let us know some identities-

1. sin²θ + cos²θ = 1

2. sec²θ - tan²θ = 1

3. cosec²θ - cot²θ = 1

Proof:

We know that,

sec²θ - tan²θ = 1

or, (secθ + tanθ) (secθ - tanθ) = 1

or, secθ - tanθ = 1 / (secθ + tanθ)

Now, L.H.S.

= (1 - secθ + tanθ)/(1 + secθ - tanθ)

= {1 - (secθ - tanθ)} / {1 + (secθ - tanθ)}

= {1 - 1/(secθ + tanθ)} / {1 + 1/(secθ + tanθ)}

= {(secθ + tanθ) - 1} / {(secθ + tanθ) + 1}

= (secθ + tanθ - 1) / (secθ + tanθ + 1)

= R.H.S.

Hence, proved.

Answer 2

Answer:

option A is correct answer

Step-by-step explanation:

i hope this answers will be corrected

please mark be brainlist