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標題:

F.3升F.4 math

發問:

Without esing a calculator, find the values of the following. 1. (sin 13° cos 45° cos 77° + cos 13° sin 45° sin 77°) ²Solve the following trigonometric equations1. sin(4x+30°)=cos6xProve the following identities1. (cos x+1)(cos x-1)/- cos x cos (90° - x)... 顯示更多 Without esing a calculator, find the values of the following. 1. (sin 13° cos 45° cos 77° + cos 13° sin 45° sin 77°) 2 Solve the following trigonometric equations 1. sin(4x+30°)=cos6x Prove the following identities 1. (cos x+1)(cos x-1)/- cos x cos (90° - x) = tan x 2.(1/ sin x + 1/ tan x )2 = 1 + cos x /1- cos x 3. sin^6 x + cos ^6 x = 1-3 sin2 x cos2 x 4. (sin2 x cos^4 x + sin^4 x cos2 x ) tan2 x = cos ^4 x 更新: 請列明過程!

最佳解答:

1.(sin 13° cos 45° cos 77° + cos 13° sin 45° sin 77°) 2 =(sin 13° cos 45° sin 13° + cos 13° sin45° cos 13°) 2 =(sin2 13° cos 45° + cos2 13° sin 45°) =((2^ (1/2))/ 2) 2 =1/2 1. sin(4x+30°) = cos6x cos(60°+4x)=cos6x 60°+4x=6x 2x = 60° x = 30° 1. (cos x+1)(cos x-1)/- cos x cos (90° - x) = tan x LHS = (cos2 x - 1) / -cos x sin x = -(1 - cos2 x )/ -cos x sin x = - sin2 x / -cos x sin x = sin x / cos x = tan x =RHS

其他解答:6CC7293C79127CE5