Advertisements
Advertisements
рдкреНрд░рд╢реНрди
If `tan theta = 24/7`, find that sin ЁЭЬГ + cos ЁЭЬГ
Advertisements
рдЙрддреНрддрд░
Let x − 1 be the hypotenuse By applying Pythagoras theorem we get
ЁЭР┤ЁЭР╢2 = ЁЭР┤ЁЭР╡2 + ЁЭР╡ЁЭР╢2
ЁЭСе2 = (24)2 + (7)2
ЁЭСе2 = 576 + 49 = 62.5
x = 25
`sin theta = (AB)/(AC) = 24/25`
`cos theta = (BC)/(AC) = 7/25`
`sin theta + cos theta = 24/25 + 7/25`
`= 31/25`
APPEARS IN
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди
If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of
- sin A cos C + cos A sin C
- cos A cos C − sin A sin C
Prove that `(sin "A" - 2sin^3 "A")/(2cos^3 "A" - cos "A") = tan "A"`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos theta = 7/25`
if `sec A = 17/8` verify that `(3 - 4sin^2A)/(4 cos^2 A - 3) = (3 - tan^2 A)/(1 - 3 tan^2 A)`
Evaluate the following:
(cosec2 45° sec2 30°)(sin2 30° + 4 cot2 45° − sec2 60°)
Evaluate the Following
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°
Evaluate the Following
4(sin4 30° + cos2 60°) − 3(cos2 45° − sin2 90°) − sin2 60°
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^@)`
The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is ______.
Given that sinα = `1/2` and cosβ = `1/2`, then the value of (α + β) is ______.
Prove the following:
If tan A = `3/4`, then sinA cosA = `12/25`
In the given figure, if sin θ = `7/13`, which angle will be θ?
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.
Find an acute angle θ when `(cos θ - sin θ)/(cos θ + sin θ) = (1 - sqrt(3))/(1 + sqrt(3))`
The maximum value of the expression 5cosα + 12sinα – 8 is equal to ______.
If b = `(3 + cot π/8 + cot (11π)/24 - cot (5π)/24)`, then the value of `|bsqrt(2)|` is ______.
In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.
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°.
