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Maths-

General

Easy

Question

If in $blank increment A B C comma sin invisible function application A cos invisible function application B equals fraction numerator square root of 2 minus 1 over denominator square root of 2 end fraction$ and $sin invisible function application B cos invisible function application A equals fraction numerator 1 over denominator square root of 2 end fraction comma blank$ then the triangle is

Equilateral
Isosceles
Right angled
Right-angled isosceles

The correct answer is: Right angled

Adding, $sin invisible function application open parentheses A plus B close parentheses equals 1$
and subtracting, $sin invisible function application open parentheses A minus B close parentheses equals fraction numerator square root of 2 minus 2 over denominator square root of 2 end fraction equals 1 minus square root of 2 not equal to 0$
$therefore A plus B equals 90 degree comma blank A not equal to B$

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The equation $2 cos to the power of 2 end exponent invisible function application fraction numerator x over denominator 2 end fraction sin to the power of 2 end exponent invisible function application x equals x to the power of 2 end exponent equals x to the power of negative 2 end exponent semicolon 0 less than x less or equal than fraction numerator pi over denominator 2 end fraction$ has

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parallel

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parallel

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Physics-General

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Physics-General

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