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QuestionCalculate the value of sin⁡90∘+tan⁡45∘\sin 90^{\circ} + \tan 45^{\circ} without a calculator.

Studdy Solution

STEP 1

Assumptions1. We are dealing with degrees, not radians. . We are using the standard values of trigonometric functions at specific angles.

STEP 2

The problem asks us to find the exact value of the expression sin⁡90∘+tan⁡45∘\sin90^{\circ}+\tan45^{\circ}. We know that the sin⁡90∘\sin90^{\circ} is equal to1 and tan⁡45∘\tan45^{\circ} is equal to1.

STEP 3

Substitute the values of sin⁡90∘\sin90^{\circ} and tan⁡45∘\tan45^{\circ} into the expression.
sin⁡90∘+tan⁡45∘=1+1\sin90^{\circ}+\tan45^{\circ} =1 +1

STEP 4

Add the two values together to get the exact value of the expression.
1+1=21 +1 =2So, the exact value of the expression sin⁡90∘+tan⁡45∘\sin90^{\circ}+\tan45^{\circ} is2.

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