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Question

Mathematics Question on Straight lines

If sec2⁡θ+tan2⁡θ=3 then find the value of cot⁡θ.

A

(A) 0

B

(B) 1

C

(C) 2

D

(D) 3

Answer

(B) 1

Explanation

Solution

Explanation:
Given,sec2⁡θ+tan2⁡θ=3...(i)Subtracting 1 from both sides in equation (i) we get,sec2⁡θ+tan2⁡θ−1=3−1(∵sec2⁡θ−1=tan2⁡θ)⇒tan2⁡θ+tan2⁡θ=2⇒2tan2⁡θ=2⇒tan2⁡θ=1⇒tan⁡θ=1Now,cot⁡θ=1tan⁡θ=1Hence, the correct option is (B).