Advertisements
Advertisements
प्रश्न
If sin θ = `1/2`, then find the value of θ.
Advertisements
उत्तर
sin θ = `1/2`
`sin 30^circ = 1/2` ................ [using trignometric table]
∴ θ = 30°
APPEARS IN
संबंधित प्रश्न
Prove that `(sin theta)/(1-cottheta) + (cos theta)/(1 - tan theta) = cos theta + sin theta`
Prove that:
`cot^2A/(cosecA - 1) - 1 = cosecA`
cosec4 θ − cosec2 θ = cot4 θ + cot2 θ
`sqrt((1-cos theta)/(1+cos theta)) = (cosec theta - cot theta)`
`(sec theta + tan theta )/( sec theta - tan theta ) = ( sec theta + tan theta )^2 = 1+2 tan^2 theta + 25 sec theta tan theta `
`(sin theta)/((sec theta + tan theta -1)) + cos theta/((cosec theta + cot theta -1))=1`
If x= a sec `theta + b tan theta and y = a tan theta + b sec theta ,"prove that" (x^2 - y^2 )=(a^2 -b^2)`
Find the value of sin ` 48° sec 42° + cos 48° cosec 42°`
If \[\sin \theta = \frac{1}{3}\] then find the value of 9tan2 θ + 9.
If x = a sec θ and y = b tan θ, then b2x2 − a2y2 =
\[\frac{\tan \theta}{\sec \theta - 1} + \frac{\tan \theta}{\sec \theta + 1}\] is equal to
Prove the following identity :
`sinθ(1 + tanθ) + cosθ(1 +cotθ) = secθ + cosecθ`
Prove the following identity :
`(1 + tan^2A) + (1 + 1/tan^2A) = 1/(sin^2A - sin^4A)`
Prove the following identity :
`(1 + tan^2θ)sinθcosθ = tanθ`
If tanA + sinA = m and tanA - sinA = n , prove that (`m^2 - n^2)^2` = 16mn
Without using trigonometric table , evaluate :
`cosec49°cos41° + (tan31°)/(cot59°)`
For ΔABC , prove that :
`sin((A + B)/2) = cos"C/2`
Prove that identity:
`(sec A - 1)/(sec A + 1) = (1 - cos A)/(1 + cos A)`
Choose the correct alternative:
sec 60° = ?
Let x1, x2, x3 be the solutions of `tan^-1((2x + 1)/(x + 1)) + tan^-1((2x - 1)/(x - 1))` = 2tan–1(x + 1) where x1 < x2 < x3 then 2x1 + x2 + x32 is equal to ______.
