Advertisements
Advertisements
प्रश्न
If 3 cot θ = 2, find the value of `(4sin theta - 3 cos theta)/(2 sin theta + 6cos theta)`.
Advertisements
उत्तर
`cot theta = 2/3`
`= ((4 sin theta - 3 cos theta)/sin theta)/((2sin theta + 6 cos theta)/sin theta)`
`= (4 - 3 cot theta)/(2 + 6 cot theta)`
`= (4 - 3 xx 2/3)/(2 + 6 xx 2/3)`
`= (4 + 2)/(2 + 4) = 2/6`
`= 1/3`
APPEARS IN
संबंधित प्रश्न
In Given Figure, find tan P – cot R.
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.
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))`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos A = 4/5`
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`tan alpha = 5/12`
Evaluate the following
sin 45° sin 30° + cos 45° cos 30°
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 :
`2 sin x/2 = 1`
Find the value of x in the following :
`sqrt3 sin x = cos x`
sin (45° + θ) – cos (45° – θ) is equal to ______.
The value of sin² 30° – cos² 30° is ______.
The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is ______.
If sin A = `1/2`, then the value of cot A is ______.
Prove that: cot θ + tan θ = cosec θ·sec θ
Proof: L.H.S. = cot θ + tan θ
= `square/square + square/square` ......`[∵ cot θ = square/square, tan θ = square/square]`
= `(square + square)/(square xx square)` .....`[∵ square + square = 1]`
= `1/(square xx square)`
= `1/square xx 1/square`
= cosec θ·sec θ ......`[∵ "cosec" θ = 1/square, sec θ = 1/square]`
= R.H.S.
∴ L.H.S. = R.H.S.
∴ cot θ + tan θ = cosec·sec θ
If f(x) = `3cos(x + (5π)/6) - 5sinx + 2`, then maximum value of f(x) is ______.
In ΔBC, right angled at C, if tan A = `8/7`, then the value of cot B is ______.
Evaluate: 5 cosec2 45° – 3 sin2 90° + 5 cos 0°.
