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If sinθ = cosθ and 0° < θ<90°, find the value of 'θ'. - Mathematics

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Question

If sinθ = cosθ and 0° < θ<90°, find the value of 'θ'.

Sum
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Solution

sinθ = cosθ

⇒ `"sinθ"/"cosθ" = "cosθ"/"cosθ"`
⇒  tanθ = 1
⇒  tanθ = tan45°
⇒ θ = 45°.

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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 9
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