Advertisements
Advertisements
प्रश्न
Evaluate the following:
(cosec2 45° sec2 30°)(sin2 30° + 4 cot2 45° − sec2 60°)
Advertisements
उत्तर
Given,
(cosec2 45° sec2 30°)(sin2 30° + 4 cot2 45° − sec2 60°) …(i)
= `((sqrt2)^2 · (2/sqrt3)^2)((1/2)^2 + 4(1)^2 - (2)^2)`
= `(8/3)(1/4 + 4 - 4)`
= `8/3·1/4`
= `2/3`
APPEARS IN
संबंधित प्रश्न
In Given Figure, find tan P – cot R.
In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of
- sin A cos C + cos A sin C
- cos A cos C − sin A sin C
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin theta = 11/5`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sec theta = 13/5`
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`cos theta = 12/2`
If 3 tan θ = 4, find the value of `(4cos theta - sin theta)/(2cos theta + sin theta)`
Evaluate the following
sin2 30° + sin2 45° + sin2 60° + sin2 90°
Evaluate the following
`sin^2 30° cos^2 45 ° + 4 tan^2 30° + 1/2 sin^2 90° − 2 cos^2 90° + 1/24 cos^2 0°`
Evaluate the Following:
`(tan^2 60^@ + 4 cos^2 45^@ + 3 sec^2 30^@ + 5 cos^2 90)/(cosec 30^@ + sec 60^@ - cot^2 30^@)`
Find the value of x in the following :
`2sin 3x = sqrt3`
Find the value of x in the following :
`2 sin x/2 = 1`
If `sqrt2 sin (60° – α) = 1` then α is ______.
The value of the expression `[(sin^2 22^circ + sin^2 68^circ)/(cos^2 22^circ + cos^2 68^circ) + sin^2 63^circ + cos 63^circ sin 27^circ]` is ______.
Find the value of sin 45° + cos 45° + tan 45°.
If f(x) = `3cos(x + (5π)/6) - 5sinx + 2`, then maximum value of f(x) is ______.
Evaluate 2 sec2 θ + 3 cosec2 θ – 2 sin θ cos θ if θ = 45°.
If sin θ – cos θ = 0, then find the value of sin4 θ + cos4 θ.
(3 sin2 30° – 4 cos2 60°) is equal to ______.
In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.
