$a^{2}+b^{2}+2 a b \cos \theta=1$ $c^{2}+d^{2}+2 c d \cos \theta=1$ and $a c+b d+(a d+b c) \cos \theta=0$ then $a^{2}+c^{2}=D%$ A) $\sec (2} \theta$ B) $\operatorname{cosec}^{2} \theta$ c) $\cot ^{2} \theta$ D) $\tan ^{2} \theta$

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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$a^{2}+b^{2}+2 a b \cos \theta=1$
$c^{2}+d^{2}+2 c d \cos \theta=1$ and
$a c+b d+(a d+b c) \cos \theta=0$ then $a^{2}+c^{2}=$
A) $\sec ^{2} \theta$
B) $\operatorname{cosec}^{2} \theta$
c) $\cot ^{2} \theta$ D) $\tan ^{2} \theta$
Transcribed Image Text:$a^{2}+b^{2}+2 a b \cos \theta=1$ $c^{2}+d^{2}+2 c d \cos \theta=1$ and $a c+b d+(a d+b c) \cos \theta=0$ then $a^{2}+c^{2}=$ A) $\sec ^{2} \theta$ B) $\operatorname{cosec}^{2} \theta$ c) $\cot ^{2} \theta$ D) $\tan ^{2} \theta$
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