Question

If cot theta + 1 by cot theta equals to 2 then find the value of cot square theta + 1 by cos squared theta​

Answer 1

Answer:is answer is 4

Step-by-step explanation:

see we can write  cot theta + 1 by cot theta  as

1+tan(theta)=2

therefore,

tan(theta)=1,

therefore,

theta=pi/4

now

cot square theta + 1 by cos squared theta​ can be written as

1/sin^2(theta)*cos^2(theta)

multiplying and dividing it by 4

the we get

4/sin^2(2theta)

and,since theta is equals to pi/4

therfore we get 4 as answer

since 2theta=pi/2 and hence sin2(theta)=1

Answer 2

Answer:         0

Step-by-step explanation:

tan x + cot x = 2,

sin x/cos x + cos x/sin x = 2

(sin^2 x + cos^2 x) = 2 sin x cos x

1 = 2 sin x cos x

1 = sin 2x

or 2x = 90 deg, or x = 45 deg.

tan^2 x - cot^2 x

= tan^2 45 - cot^2 45

= 1–1

= 0

Answer : tan^2 x - cot^2 x = 0.

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