Advertisements
Advertisements
рдкреНрд░рд╢реНрди
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos theta = 7/25`
Advertisements
рдЙрддреНрддрд░
We know that `cos theta = "adjacent side"/"hypotence"`
Now consider a right-angled Δle ABC
Let x be the opposite side.
By applying Pythagoras theorem
ЁЭР┤ЁЭР╢2 = ЁЭР┤ЁЭР╡2 + ЁЭР╡ЁЭР╢2
(25)2 = ЁЭСе2 + 72
625 - 49 = ЁЭСе2
`576 = sqrt576 = 24`
`sin theta = "opposite side"/"hypotenuse"= 24/25`
`tan theta = "opposite side"/"adjacent side" = 24/7`
`cosec theta = 1/sin theta = (1/3)/5 = 25/24`
`sec theta = 1/cos theta = (1/4)/5 = 25/7`
`cot theta = 1/tan theta = (1/3)/4 = 7/24`
APPEARS IN
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди
Given sec θ = `13/12`, calculate all other trigonometric ratios.
If cot θ = `7/8`, evaluate cot2 θ.
State whether the following are true or false. Justify your answer.
sec A = `12/5` for some value of angle A.
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`tan alpha = 5/12`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sec theta = 13/5`
If `tan theta = 1/sqrt7` `(cosec^2 theta - sec^2 theta)/(cosec^2 theta + sec^2 theta) = 3/4`
if `cot theta = 3/4` prove that `sqrt((sec theta - cosec theta)/(sec theta +cosec theta)) = 1/sqrt7`
If Cosec A = 2 find `1/(tan A) + (sin A)/(1 + cos A)`
Evaluate the following
sin2 30° + sin2 45° + sin2 60° + sin2 90°
Evaluate the following
cos2 30° + cos2 45° + cos2 60° + cos2 90°
Evaluate the following:
(cosec2 45° sec2 30°)(sin2 30° + 4 cot2 45° − sec2 60°)
Evaluate the Following
`cot^2 30^@ - 2 cos^2 60^circ- 3/4 sec^2 45^@ - 4 sec^2 30^@`
Evaluate the Following
`4/(cot^2 30^@) + 1/(sin^2 60^@) - cos^2 45^@`
Evaluate the Following
`sin 30^2/sin 45^@ + tan 45^@/sec 60^@ - sin 60^@/cot 45^@ - cos 30^@/sin 90^@`
5 tan² A – 5 sec² A + 1 is equal to ______.
If sec θ = `1/2`, what will be the value of cos θ?
If sin θ + cos θ = `sqrt(2)` then tan θ + cot θ = ______.
Let f(x) = sinx.cos3x and g(x) = cosx.sin3x, then the value of `7((f(π/7) + g(π/7))/(g((5π)/14) + f((5π)/14)))` is ______.
