Question
Download Solution PDFThe value of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Trigonometric Identities:
- (cos A× cos B) – (sin A × sin B) = cos(A + B)
- 2 × sin A × cos A = sin (2A)
- sin (90 - θ) = cos θ
CALCULATION:
Given that: √3 cosec 20° – sec 20°
As we know that, cosec θ = 1/ sin θ and sec θ = 1/ cos θ
As we know that, cos 30° = √3 / 2, sin 30° = ½
As we know that, (cos A × cos B) – (sin A × sin B) = cos(A + B)
As we know that, 2 × sin A × cos A = sin (2A)
As we know that, sin (90 - θ) = cos θ
⇒ 4
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