In right-angled triangle $PQR, \angle Q=90°$ and $\angle P=30°$. If $PQ+QR=5 cm$, then what is the length of $PQ$? $\left(\sqrt{3}=1.732\right)$.

Important Questions on Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 31

In the formula $\sin \left(A-B\right)=\sin \left(A\right)\cos \left(B\right)-\sin \left(B\right)\cos \left(A\right)$ putting the suitable value of $A$ and $B$ find the value of $\sin \left(15°\right)$.

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 32

In the formula $\cos \left(A+B\right)=\cos \left(A\right)\cos \left(B\right)-\sin \left(A\right)\sin \left(B\right)$ putting the suitable value of $A$ and $B$ find the value of $\cos \left(75°\right)$.

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 33

If $\cos \left(x\right)+\cos \left(y\right)=2, \left(0°\le x\le 90°, 0°\le x\le 90°\right)$ then, find the value of $\sin \left(x\right)+\sin \left(y\right)$.

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 33

If $\cos \left(x\right)+\cos \left(y\right)=2, \left(0°\le x\le 90°, 0°\le x\le 90°\right)$ then, find the value of $\cos \left(x+y\right)$.

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 34A

If $\sin \left(\theta -30°\right)=\frac{1}{2}$ then, the value of $\sin \left(\theta +30°\right)$ is

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 34A

If $\sin \left(\theta \right)-\cos \left(\theta \right)=0, \left(0°\le \theta \le 90°\right)$ and $\sec \left(\theta \right)+\mathrm{cosec}\left(\theta \right)=x$ then the value of $x$ is

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 34A

If $2\cos \left(3\theta \right)=1$ then the value of $\theta$ is

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 24 - Measurement of angle and Trigonometrical ratios of angle and Trigonometric Identities>EXERCISE 1B>Q 34A

In $∆ABC$ the angles, $A$ and $B$ are such that $\cos \left(A+B\right)=\frac{\sqrt{3}}{2}$; then the circular measure of $\angle C$ is