Prove the following: sin230° + cos230° = 1 2 sec 60 °

Prove the following: sin²30° + cos²30° = `(1)/(2)sec60°`

Sum

L.H.S.

= sin²30° + cos²30°

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

= `(1)/(4) + (3)/(4)`

= `(4)/(4)`
= 1

= `(1)/(2) xx sec60°`
= R.H.S.

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Trigonometric Equation Problem and Solution

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Chapter 22: Trigonometrical Ratios of Standard Angles - Exercise 27.3

Chapter 22 Trigonometrical Ratios of Standard Angles
Exercise 27.3 | Q 14.4

If sin x + cos y = 1 and x = 30°, find the value of y

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Given your answer correct to 2 decimal places.