C-10-Q155mediumsingle_mcq

$\sin^2 45^\circ + \cos^2 45^\circ$ equals—

a $\dfrac{1}{2}$
b $1$
c $\sqrt{2}$
d $0$

ব্যাখ্যা

This is the Pythagorean identity $\sin^2\theta + \cos^2\theta = 1$ , which holds for every angle, including $45^\circ$ . Numerically, $\left(\frac{1}{\sqrt{2}}\right)^2 + \left(\frac{1}{\sqrt{2}}\right)^2 = \frac{1}{2} + \frac{1}{2} = 1$ .

এই অধ্যায়ের আরও প্রশ্ন

C-10-Q156The shadow of a vertical pole on level ground is longest when the sun's elevation is—
C-10-Q157From a building, the angle of depression of a car on level ground is . The horizontal distance of the car from
C-10-Q158From the same observation point on the ground, the angle of elevation of a fixed tower top is determined uniqu
C-10-Q159In a right triangle with one acute angle , is maximum at
C-10-Q160Trigonometric ratios are independent of the size of a right triangle because of the—
C-10-Q150Therefore the angle of elevation of the sun is—
C-10-Q151A m ladder makes with the ground, touching the top of a wall. The wall height equals—
C-10-Q152m approximately equals—
C-10-Q153equals—
C-10-Q154equals—

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

$\sin^2 45^\circ + \cos^2 45^\circ$ equals—

\dfrac{1}{2}

1

\sqrt{2}

0

sin⁡245∘+cos⁡245∘\sin^2 45^\circ + \cos^2 45^\circsin245∘+cos245∘ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

sin⁡245∘+cos⁡245∘\sin^2 45^\circ + \cos^2 45^\circsin245∘+cos245∘ equals—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

$\sin^2 45^\circ + \cos^2 45^\circ$ equals—

$\sin^2 45^\circ + \cos^2 45^\circ$ equals—