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Maharashtra State BoardSSC (English Medium) 10th Standard

Find the value of sin 45° + cos 45° + tan 45°.

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Question

Find the value of sin 45° + cos 45° + tan 45°.

Sum
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Solution

sin 45° + cos 45° + tan 45° = `1/sqrt(2) + 1/sqrt(2) + 1`

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

= `2/sqrt(2) + 1`

= `sqrt(2) + 1`

Hence, the value of sin 45° + cos 45° + tan 45° is `sqrt(2) + 1`.

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