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If the arcs of the same length in two circles subtend angles 65° and 110° at the centre, than the ratio of the radii of the circles is
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If OP makes 4 revolutions in one second, the angular velocity in radians per second is
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A circular wire of radius 7 cm is cut and bent again into an arc of a circle of radius 12 cm. The angle subtended by the arc at the centre is
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The radius of the circle whose arc of length 15 π cm makes an angle of \[\frac{3\pi}{4}\] radian at the centre is
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A circular wire of radius 3 cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48 cm. Find the angle in degrees which is subtended at the centre of hoop.
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Find the value of `sqrt(3)` cosec 20° – sec 20°
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If θ lies in the second quadrant, then show that `sqrt((1 - sin theta)/(1 + sin theta)) + sqrt((1 + sin theta)/(1 - sin theta))` = −2sec θ
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Find the value of tan 9° – tan 27° – tan 63° + tan 81°
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Prove that `(sec8 theta - 1)/(sec4 theta - 1) = (tan8 theta)/(tan2 theta)`
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If tan θ = `(-4)/3`, then sin θ is ______.
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“The inequality `2^sintheta + 2^costheta ≥ 2^(1/sqrt(2))` holds for all real values of θ”
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The value of tan1° tan2° tan3° ... tan89° is ______.
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The value of cos1° cos2° cos3° ... cos179° is ______.
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Which of the following is correct?
[Hint: 1 radian = `180^circ/pi = 57^circ30^'` approx]
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State whether the statement is True or False? Also give justification.
The equality sinA + sin2A + sin3A = 3 holds for some real value of A.
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State whether the statement is True or False? Also give justification.
Sin10° is greater than cos10°
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State whether the statement is True or False? Also give justification.
`cos (2pi)/15 cos (4pi)/15 cos (8pi)/15 cos (16pi)/15 = 1/16`
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State whether the statement is True or False? Also give justification.
One value of θ which satisfies the equation sin4θ - 2sin2θ - 1 lies between 0 and 2π.
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Identify whether the following is set or not? Justify your answer.
The collection of all months of a year beginning with the letter J.
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Identify whether the following is set or not? Justify your answer.
The collection of ten most talented writers of India.
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