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Without Using Trigonometric Table , Evaluate : Cos 90 ∘ + Sin 30 ∘ Tan 45 ∘ Cos 2 45 ∘ - Mathematics

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Question

Without using trigonometric table , evaluate : 

`cos90^circ + sin30^circ tan45^circ cos^2 45^circ`

Sum

Solution

`cos90^circ + sin30^circ tan45^circ cos^2 45^circ`

⇒ `cos90^circ + sin30^circ . sin45^circ/cos45^circ    .cos^2 45^circ`

⇒ `cos90^circ + sin30^circ . sin45^circ . cos45^circ`

⇒ `0 + 1/2 . 1/2 = 1/4`

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Chapter 21: Trigonometric Identities - Exercise 21.3

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 21 Trigonometric Identities
Exercise 21.3 | Q 1.03
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