5cos0°-2sin30°+√3cos30°\tan30°×tan60°×cos60° +3sin29°sec61
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value of given expression is 13/7
(5cos0° - 2sin0° + √3cos30°)/(tan30°. tan60° . cos60° + 3sin29°. sec61°)
we know, cos0° = 1, sin0° = 0
cos30° = √3/2 , tan30° = √3
tan60° = √3,cos60° = 1/2 and cos30° = √3/2
we also know, sin(90 - x) = cosx
so, sin29° = sin(90 - 61) = cos61°
now, (5cos0° - 2sin0° + √3cos30°)/(tan30°. tan60° . cos60° + 3sin29°. sec61°)
= (5 × 1 - 2 × 0 + √3× √3/2)/(1/√3 × √3 × 1/2 + 3 cos61°. sec61°)
= (5 + 3/2)/(1/2 + 3 )
= (13/2)/(7/2)
= 13/7
also read : Find the value of tan60°-tan30°/1+tan60°-tan30°?
https://brainly.in/question/3127771
Sin30°- Sin90°+2Cos0°/Tan30°•Tan60°
https://brainly.in/question/2510720
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