If cos α + sin α = 1 / 5 and α∈ (0, π), then sin α ^ 3-cos α ^ 3=

If cos α + sin α = 1 / 5 and α∈ (0, π), then sin α ^ 3-cos α ^ 3=

Cos α + sin α = 1 / 5 (COS α + sin α) ^ 2 = 1 / 251 + 2Sin α cos α = 1 / 251-2sin α cos α = 49 / 25 ∵ α ∈ (0, π) ∵ sin α > 0cos α = 7 / 5sin α cos α = - 12 / 25sin α ^ 3-cos α = (sin α - cos α) (sin α ^ 2 + sin α cos α

sin25π/4+cos25π/3+tan(-25π/4)=

The original formula = sin (6 π + π / 4) + cos (8 π + π / 3) + Tan (- 6 π - π / 4)
=sinπ/4+cosπ/3-tanπ/4
=√2/2+1/2-1
=(√2-1)/2

Evaluate sin25 π / 6 + cos25 π / 3 + Tan (- 25 π / 4) + sin (- 7 π / 3) × cos (- 13 π / 6) - sin (- 5 π / 6) × cos (- 5 π / 3)

sin25π/6+cos25π/3+tan(-25π/4)+sin(-7π/3)×cos(-13π/6)-sin(-5π/6)×cos(-5π/3)
=sin(4π+π/6)+cos(8π+π/3)+tan(-25π/4+6π)+sin(-7π/3+2π)×cos(-13π/6+2π)-sin(π-π/6)×cos(-5π/3+2π)
=sinπ/6+cosπ/3+tan(-π/4)+sin(-π/3)×cos(-π/6)-sin(π/6)×cos(π/3)
=sinπ/6+cosπ/3-tanπ/4-sinπ/3×cosπ/6-sin(π/6)×cos(π/3)
=1/2+1/2-1-√3/2×√3/2-1/2×1/2
=-3/4-1/4
=-1

sin25π/6+cos10π/3+tan(-25π/4)+sin(-7π/3)×cos(-13π/6)=

sin25π/6+cos10π/3+tan(-25π/4)+sin(-7π/3)×cos(-13π/6)=sin(4π+ π/6）+cos(4π - 2π/3)+tan(-6π- π/4)+sin(-2π - π/3)×cos(-2π - π/6)=sin(π/6）+cos(2π/3) + tan(-π/4) + sin(- π/3)×cos(- ...

Sin25 / 6 + cos25 / 3-tan25 / 4

The original formula = sin [4 π + (π / 6)] + cos [8 π + (π / 3)] - Tan [6 π + (π / 4)]
=sin(π/6)＋cos(π/3)－tan(π/4)
=(1/2)＋(1/2)－1
=0

How is the ratio of COS 66, Tan 26, sin 25 Please describe the process and results,

cos66°=sin24°
Homework help users 2017-11-05
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Tan 26 degrees, sin 36 degrees and sin 25 degrees were compared

tan26°=0.4877
sin36°=0.5878
sin25°=0.4226

tan19°+tan26°+tan19°tan26°=______ .

∵tan45°=tan（19°+26°）=tan19°+tan26°
1−tan19°tan26°=1，
∴tan19°+tan26°=1-tan19°tan26°，
Then tan19 ° + tan26 ° + tan19 ° tan26 ° = 1-tan19 ° tan26 ° + tan19 ° tan26 ° = 1
So the answer is: 1

What is the value of sin5 degree sin25 degree cos5 degree sin65 degree

sin5sin25－sin95sin65
=sin5cos65－sin85sin65
=sin5cos65－cos5sin65
=sin(5-65)
=sin(-60)
=-sin60
=-√3/2

Sin25 degrees 45 points is equal to how much? Urgent need!

sin25°45'=0.434445257