Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.7>Q 65

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In an equilateral triangle of side $2 \sqrt{3} cm,$ the circum-radius is

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Important Questions on Trigonometric Functions

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.7>Q 66

If

R

is the radius of the circumcircle of the

Δ A B C

and its area is

Δ,

then

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.7>Q 67

In an equilateral triangle, the inradius and the circumradius are connected by

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.7>Q 69

In

∆ A B C, ∠ A = \frac{π}{2}, b = 4, c = 3

, then the value of

\frac{R}{r}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.8>Q 70

In any triangle

A B C, a \cot A + b \cot B + c \cot C =

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.8>Q 71

In a triangle, if

r_{1} = 2 r_{2} = 3 r_{3}

, then

\frac{a}{b} + \frac{b}{c} + \frac{c}{a}

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.8>Q 72

The sum of the radii of inscribed and circumscribed circles for an

n

sided regular polygon of side

a,

is

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.8>Q 73

In a triangle

A B C, r_{1} < r_{2} < r_{3}

, then

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Gamma Question Bank for Engineering Mathematics>Chapter 9 - Trigonometric Functions>EXERCISE 20.8>Q 74

The radii

r_{1}, r_{2}, r_{3}

of escribed circles of the

Δ A B C

are in

HP

. If its area is

24 sq .

cm

and its perimeter is

24 cm,

then the lengths of its sides are