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Standard Values of Trigonometric Ratios

If sin2 α+45∘...

Question

If sin(2α + 45^o) = cos(30^o - α), where, 0^o < α < 90^o, then the value of α in degrees is.

A

25^o

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B

35^o

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C

5^o

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D

15^o

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Solution

The correct option is D
15^o

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\frac{x^{2}}{{cos}^{2} α} - \frac{y^{2}}{{sin}^{2} α} = 1

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^{'} α^{'}

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α \in (\frac{3 π}{4}, π)

\frac{d y}{d α}

α = \frac{5 π}{6}

y (α) = \sqrt{2 (\frac{tan α + cot α}{1 + {tan}^{2} α}) + \frac{1}{{sin}^{2} α}}

α \in (\frac{3 π}{4}, π)

\frac{d y}{d α}

α = \frac{5 π}{6}

If sin ( 2A.+ 45° ) = cos ( 30° - A ), find A.

α, β

are supplementary angles, then

{sin}^{2} α + {cos}^{2} β

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