Advertisements
Advertisements
प्रश्न
Evaluate the Following
(cos 0° + sin 45° + sin 30°)(sin 90° − cos 45° + cos 60°)
उत्तर
(cos 0° + sin 45° + sin 30°)(sin 90° − cos 45° + cos 60°) ....(i)
By trigonometric ratios we have
`cos 0^@ = 1, sin 45^@ = 1/sqrt2, sin 30^@ = 1/2, sin 90^@ = 1, cos 45^@ = 1/sqrt2 cos 6062 = 1/2`
By substituting above values in (i), we get
`(1 + 1/sqrt2 + 1/2)(1 - 1/sqrt2 + 1/2)`
`[3/2 + 1/sqrt2 + 1/sqrt2] [3/2 - 1/sqrt2] => [3/2]^2 - [1/sqrt2]= 9/4 - 1/2 = 7/4`
APPEARS IN
संबंधित प्रश्न
If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
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.
Prove that `(sin "A" - 2sin^3 "A")/(2cos^3 "A" - cos "A") = tan "A"`
Evaluate the following
sin2 30° + sin2 45° + sin2 60° + sin2 90°
Evaluate the following
`sin^2 30° cos^2 45 ° + 4 tan^2 30° + 1/2 sin^2 90° − 2 cos^2 90° + 1/24 cos^2 0°`
Find the value of x in the following :
`sqrt3 sin x = cos x`
If cos A + cos² A = 1, then sin² A + sin4 A is equal to ______.
Let f(x) = sinx.cos3x and g(x) = cosx.sin3x, then the value of `7((f(π/7) + g(π/7))/(g((5π)/14) + f((5π)/14)))` is ______.
If b = `(3 + cot π/8 + cot (11π)/24 - cot (5π)/24)`, then the value of `|bsqrt(2)|` is ______.
