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╢реНтАНрди
If cot θ =` 7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`
State whether the following are true or false. Justify your answer.
The value of tan A is always less than 1.
State whether the following are true or false. Justify your answer.
cot A is the product of cot and A.
State whether the following are true or false. Justify your answer.
sin θ = `4/3`, for some angle θ.
If 3 tan θ = 4, find the value of `(4cos theta - sin theta)/(2cos theta + sin theta)`
if `sin theta = 3/4` prove that `sqrt(cosec^2 theta - cot)/(sec^2 theta - 1) = sqrt7/3`
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
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
`sin 30^2/sin 45^@ + tan 45^@/sec 60^@ - sin 60^@/cot 45^@ - cos 30^@/sin 90^@`
Find the value of x in the following :
`sqrt3 tan 2x = cos 60^@ + sin45^@ cos 45^@`
sin (45° + θ) – cos (45° – θ) is equal to ______.
If cos A + cos² A = 1, then sin² A + sin4 A is equal to ______.
3 sin² 20° – 2 tan² 45° + 3 sin² 70° is equal to ______.
If sin A = `1/2`, then the value of cot A is ______.
If f(x) = `3cos(x + (5π)/6) - 5sinx + 2`, then maximum value of f(x) is ______.
Evaluate 2 sec2 θ + 3 cosec2 θ – 2 sin θ cos θ if θ = 45°.
In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.

