C-09-Q060mediumsingle_mcq

Which is NOT a Pythagorean trigonometric identity?

a $\sin^2\theta + \cos^2\theta = 1$
b $1 + \tan^2\theta = \sec^2\theta$
c $1 + \cot^2\theta = \operatorname{cosec}^2\theta$
d $\tan\theta + \cot\theta = 1$

ব্যাখ্যা

The three Pythagorean identities are $\sin^2\theta + \cos^2\theta = 1$ , $1+\tan^2\theta = \sec^2\theta$ , and $1+\cot^2\theta = \operatorname{cosec}^2\theta$ . The relation $\tan\theta + \cot\theta = 1$ is not among them and is in fact false in general.

এই অধ্যায়ের আরও প্রশ্ন

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C-09-Q062If , hypotenuse
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C-09-Q069If , then
C-09-Q070If , then

Trigonometric Ratio — সব প্রশ্ন দেখুন (217টি) →

Which is NOT a Pythagorean trigonometric identity?

\sin^2\theta + \cos^2\theta = 1

1 + \tan^2\theta = \sec^2\theta

1 + \cot^2\theta = \operatorname{cosec}^2\theta

\tan\theta + \cot\theta = 1