Evaluate: `(Sin30°)/(Cos 45°)+(Cot45°)/(Sec60° )- (Sin60°)/(Tan45°)+(Cos30°)/(Sin90°)` - Mathematics

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Evaluate:
`(sin30°)/(cos 45°)+(cot45°)/(sec60° )- (sin60°)/(tan45°)+(cos30°)/(sin90°)`

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Solution

`(sin30°)/(cos 45°)+(cot45°)/(sec60° )- (sin60°)/(tan45°)+(cos30°)/(sin90°)`

=`((1/2))/((1/sqrt(2))) + 1/2 - ((sqrt(3)/2))/1 +((sqrt(3))/2)/1`

=`sqrt(2)/2+1/2-sqrt(3)/2+sqrt(3)/2`

=`(sqrt(2)+1)/2`

Concept: Trigonometric Ratios and Its Reciprocal
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 6 T-Ratios of some particular angles
Exercises | Q 4
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