Advertisements
Advertisements
प्रश्न
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
tan θ = 11
Advertisements
उत्तर
tan θ = 11
We know that `tan theta = "Oppsited side"/"Hypotenuse" = 11/ sqrt122`
`cos theta = "adjacent side"/"Hypotenuse" = 1/sqrt122`
`cosec theta = 1/sin theta = (1/11)/sqrt122 = sqrt122/11`
`sec theta = 1/cos theta = (1/1)/sqrt122 = sqrt122`
`cot theta = 1/(tan theta) = 1/11 = 1/11`
APPEARS IN
संबंधित प्रश्न
In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine:
sin C, cos C
If sin A = `3/4`, calculate cos A and tan A.
In ΔPQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.
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, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos theta = 7/25`
Evaluate the following
sin2 30° + sin2 45° + sin2 60° + sin2 90°
Evaluate the following:
(cosec2 45° sec2 30°)(sin2 30° + 4 cot2 45° − sec2 60°)
`(1 + tan^2 "A")/(1 + cot^2 "A")` is equal to ______.
If sin 2A = `1/2` tan² 45° where A is an acute angle, then the value of A is ______.
`(sin theta)/(1 + cos theta)` is ______.
If cos A = `4/5`, then the value of tan A 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 ______.
The value of the expression (sin 80° – cos 80°) is negative.
Prove that sec θ + tan θ = `cos θ/(1 - sin θ)`.
Proof: L.H.S. = sec θ + tan θ
= `1/square + square/square`
= `square/square` ......`(∵ sec θ = 1/square, tan θ = square/square)`
= `((1 + sin θ) square)/(cos θ square)` ......[Multiplying `square` with the numerator and denominator]
= `(1^2 - square)/(cos θ square)`
= `square/(cos θ square)`
= `cos θ/(1 - sin θ)` = R.H.S.
∴ L.H.S. = R.H.S.
∴ sec θ + tan θ = `cos θ/(1 - sin θ)`
Find the value of sin 45° + cos 45° + tan 45°.
In the given figure, if sin θ = `7/13`, which angle will be θ?

If b = `(3 + cot π/8 + cot (11π)/24 - cot (5π)/24)`, then the value of `|bsqrt(2)|` is ______.
In ΔBC, right angled at C, if tan A = `8/7`, then the value of cot B is ______.

