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Without using trigonometrical tables, evaluate the following:

Question

Without using trigonometrical tables, evaluate the following:
$s i n^{2} 2 8^{o} + s i n^{2} 6 2^{o} - t a n^{2} 4 5^{o}$

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Elijah Discussed

Without using trigonometrical tables, evaluate the following:

s i n^{2} 2 8^{o} + s i n^{2} 6 2^{o} - t a n^{2} 4 5^{o}

12 mins ago

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Text solutionVerified

s i n^{2} 2 8^{o} + s i n^{2} 6 2^{o} - t a n^{2} 4 5^{o}

= s i n^{2} 2 8^{o} + s i n^{2} (9 0^{o} - 2 8^{o}) - t a n^{2} 4 5^{o}

= s i n^{2} 2 8^{o} + co s^{2} 2 8^{o} - t a n^{2} 4 5^{o}

= 1 - (1)^{2}

(∵ s i n^{2} θ + co s^{2} θ = 1

and

t an 4 5^{o} = 1

= 1 - 1

= 0

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Question Text	Without using trigonometrical tables, evaluate the following: $s i n^{2} 2 8^{o} + s i n^{2} 6 2^{o} - t a n^{2} 4 5^{o}$
Answer Type	Text solution:1
Upvotes	150