C-10-Q159mediumsingle_mcq

In a right triangle with one acute angle $\theta$ , $\sin\theta + \cos\theta$ is maximum at $\theta = ?$

a $0^\circ$
b $30^\circ$
c $45^\circ$
d $90^\circ$

ব্যাখ্যা

The expression $\sin\theta + \cos\theta = \sqrt{2}\sin(\theta + 45^\circ)$ is greatest when $\theta + 45^\circ = 90^\circ$ , i.e. at $\theta = 45^\circ$ . There the value reaches its maximum of $\sqrt{2}$ .

এই অধ্যায়ের আরও প্রশ্ন

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Chapter 10: Distance and Elevation — সব প্রশ্ন দেখুন (160টি) →

In a right triangle with one acute angle $\theta$ , $\sin\theta + \cos\theta$ is maximum at $\theta = ?$

0^\circ

30^\circ

45^\circ

90^\circ

In a right triangle with one acute angle θ\thetaθ, sin⁡θ+cos⁡θ\sin\theta + \cos\thetasinθ+cosθ is maximum at θ=?\theta = ?θ=?

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

In a right triangle with one acute angle θ\thetaθ, sin⁡θ+cos⁡θ\sin\theta + \cos\thetasinθ+cosθ is maximum at θ=?\theta = ?θ=?

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

In a right triangle with one acute angle $\theta$ , $\sin\theta + \cos\theta$ is maximum at $\theta = ?$

In a right triangle with one acute angle $\theta$ , $\sin\theta + \cos\theta$ is maximum at $\theta = ?$