Match the following. Given a s i n x = b c o s x = c t a n x = k . List-I List-II (a) a 2 + b 2 (p) b 2 k 4 1 (b) a 2 + b 2 + c 2 (q) k 2 1 (c) b c (r) ak 1 (d) c k 1 + 1 + bk ak (s) k

Question

Match the following. Given a s i n x ​ = b c o s x ​ = c t a n x ​ = k . List-I List-II (a) a 2 + b 2 (p) b 2 k 4 1 ​ (b) a 2 + b 2 + c 2 (q) k 2 1 ​ (c) b c (r) ak 1 ​ (d) c k 1 ​ + 1 + bk ak ​ (s) k a ​ (t) b 2 k 4 1 ​ − c 2 (One or more entries can match more than one option.)

TestHub · Accepted Answer

sin x = ak , cos x = bk , tan x = c k .

List-I	List-II
(a) $a^{2} + b^{2}$	(p) $\frac{1}{b ^{2} k ^{4}}$
(b) $a^{2} + b^{2} + c^{2}$	(q) $\frac{1}{k ^{2}}$
(c) $b c$	(r) $\frac{1}{ak}$
(d) $\frac{1}{c k} + \frac{ak}{1 + bk}$	(s) $\frac{a}{k}$
	(t) $\frac{1}{b ^{2} k ^{4}} - c^{2}$

Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

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