If $\sin \theta \cos \theta =\frac{1}{2}$, then what is the value of $(\sin \theta -\cos \theta {)}^2$

Important Questions on Miscellaneous Exercise : Trigonometry

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

The value of $\frac{2\tan 30°}{1-{\tan }^{2}30°}$ is

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

In $∆ABC$, if $\angle B=90°,BC=\sqrt{3}AB,$ then what is the value of $\sin C$?

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

If $\cot \theta =\frac{x}{y}$, then the value of $\frac{x\cos \theta -y\sin \theta }{x\cos \theta +y\sin \theta }$ is

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

If $\tan \theta =\frac{8}{15}$, then the value of $\sqrt{\frac{1-\sin \theta }{1+\sin \theta }}$ is

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

If $\sin \alpha =\frac{5}{13}$, then the value of $\tan \alpha +\sec \alpha$ is

HARD

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

When the angle of elevation of sun is decreased from $60°$ to $30°$ the length of shadow of a rod is increased by $40$ metre. What is the height of the rod?

MEDIUM

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

If ${\sin }^{2}A+{\sin }^{4}A=1$, then the value of ${\tan }^{2}A-{\tan }^{4}A$ is

EASY

10th West Bengal Board

IMPORTANT

SCHOOL MATHEMATICS Class 10>Chapter 32 - Miscellaneous Exercise : Trigonometry>Miscellaneous Exercise : Trigonometry>Q 46

The value of $\tan 4°\tan 43°\tan 47°\tan 86°$ is