Advertisements
Advertisements
प्रश्न
Evaluate the Following
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°
Advertisements
उत्तर
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°............(i)
By trigonometric ratios, we have
`cosec 30^@ = 2, cos 60^@ = 1/2, tan 45^@ = 1 sin 90^@ = 1 sec 45^@ = sqrt2 cot 30^@ = sqrt3`
By substituting above values in (i), we get
`[2]^3 . 1/2 . (1)^3 . (1)^2 (sqrt2). sqrt3`
`=> 8. 1/2 . 1. 2 . sqrt3 => 8sqrt3`
APPEARS IN
संबंधित प्रश्न
If cot θ =` 7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`
State whether the following are true or false. Justify your answer.
cos A is the abbreviation used for the cosecant of angle A.
If 4 tan θ = 3, evaluate `((4sin theta - cos theta + 1)/(4sin theta + cos theta - 1))`
Prove that `(sin "A" - 2sin^3 "A")/(2cos^3 "A" - cos "A") = tan "A"`
If `sin theta = a/b` find sec θ + tan θ in terms of a and b.
If `tan θ = 20/21` show that `(1 - sin theta + cos theta)/(1 + sin theta + cos theta) = 3/7`
Evaluate the Following
`(sin 30^@ - sin 90^2 + 2 cos 0^@)/(tan 30^@ tan 60^@)`
Evaluate the Following
`sin 30^2/sin 45^@ + tan 45^@/sec 60^@ - sin 60^@/cot 45^@ - cos 30^@/sin 90^@`
Find the value of x in each of the following :
cos x = cos 60º cos 30º + sin 60º sin 30º
If `sqrt2 sin (60° – α) = 1` then α is ______.
If cos A + cos² A = 1, then sin² A + sin4 A is equal to ______.
If cos (81 + θ)° = sin`("k"/3 - theta)^circ` where θ is an acute angle, then the value of k 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 ______.
If sec θ = `1/2`, what will be the value of cos θ?
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.
Prove that `tan θ/(1 - cot θ) + cot θ/(1 - tanθ)` = 1 + sec θ cosec θ
If b = `(3 + cot π/8 + cot (11π)/24 - cot (5π)/24)`, then the value of `|bsqrt(2)|` is ______.
If sinθ = `1/sqrt(2)` and `π/2 < θ < π`. Then the value of `(sinθ + cosθ)/tanθ` is ______.
If cosec θ = `("p" + "q")/("p" - "q")` (p ≠ q ≠ 0), then `|cot(π/4 + θ/2)|` is equal to ______.
