Bhaskara II: Trigonometry and Calculus

Test your knowledge of Bhaskara II's contributions to mathematics, including his work on trigonometric functions and early calculus concepts in 12th century India.

15 Questions Published

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Questions

Question 1 Multiple Choice (Single Answer)

What is the name of Bhaskara II's most famous work on calculus?

Lilavati
Bijaganita
Siddhanta Shiromani
Karanakutuhala

Question 2 Multiple Choice (Single Answer)

What is the name of the theorem that Bhaskara II used to find the area of a circle?

The Pythagorean Theorem
The Law of Cosines
The Law of Sines
The Circle Area Theorem

Question 3 Multiple Choice (Single Answer)

What is the name of the method that Bhaskara II used to find the derivative of a function?

The Power Rule
The Product Rule
The Chain Rule
The Quotient Rule

Question 4 Multiple Choice (Single Answer)

What is the name of the method that Bhaskara II used to find the integral of a function?

The Fundamental Theorem of Calculus
The Trapezoidal Rule
The Simpson's Rule
The Midpoint Rule

Question 5 Multiple Choice (Single Answer)

What is the name of the trigonometric function that Bhaskara II used to find the sine of an angle?

The Sine Function
The Cosine Function
The Tangent Function
The Cotangent Function

Question 6 Multiple Choice (Single Answer)

What is the name of the trigonometric function that Bhaskara II used to find the cosine of an angle?

The Sine Function
The Cosine Function
The Tangent Function
The Cotangent Function

Question 7 Multiple Choice (Single Answer)

What is the name of the trigonometric function that Bhaskara II used to find the tangent of an angle?

The Sine Function
The Cosine Function
The Tangent Function
The Cotangent Function

Question 8 Multiple Choice (Single Answer)

What is the name of the trigonometric function that Bhaskara II used to find the cotangent of an angle?

The Sine Function
The Cosine Function
The Tangent Function
The Cotangent Function

Question 9 Multiple Choice (Single Answer)

What is the value of $\sin 30^\circ$?

$\frac{1}{2}$
$\frac{\sqrt{3}}{2}$
$\frac{1}{\sqrt{2}}$
$\frac{\sqrt{2}}{2}$

Question 10 Multiple Choice (Single Answer)

What is the value of $\cos 45^\circ$?

$\frac{1}{2}$
$\frac{\sqrt{3}}{2}$
$\frac{1}{\sqrt{2}}$
$\frac{\sqrt{2}}{2}$

Question 11 Multiple Choice (Single Answer)

What is the value of $\tan 60^\circ$?

$\frac{1}{2}$
$\frac{\sqrt{3}}{2}$
$\frac{1}{\sqrt{2}}$
$\frac{\sqrt{2}}{2}$

Question 12 Multiple Choice (Single Answer)

What is the value of $\cot 30^\circ$?

$\frac{1}{2}$
$\frac{\sqrt{3}}{2}$
$\frac{1}{\sqrt{2}}$
$\frac{\sqrt{2}}{2}$

Question 13 Multiple Choice (Single Answer)

What is the value of $\sin^{-1} \frac{1}{2}$?

$30^\circ$
$45^\circ$
$60^\circ$
$75^\circ$

Question 14 Multiple Choice (Single Answer)

What is the value of $\cos^{-1} \frac{\sqrt{2}}{2}$?

$30^\circ$
$45^\circ$
$60^\circ$
$75^\circ$

Question 15 Multiple Choice (Single Answer)

What is the value of $\tan^{-1} \sqrt{3}$?

$30^\circ$
$45^\circ$
$60^\circ$
$75^\circ$

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