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Q.

tan 100° + tan 125° + tan 100° tan 125° is equal to

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a

0

b

1 /2

c

-1

d

1

answer is D.

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Detailed Solution

tan⁡100∘+125∘=tan⁡100∘+tan⁡125∘1−tan⁡100∘tan⁡125∘∴tan⁡225∘=tan⁡100∘+tan⁡125∘1−tan⁡100∘tan⁡125∘i.e., 1=tan⁡100∘+tan⁡125∘1−tan⁡100∘tan⁡125∘i.e., tan100° + tan 125° + tan 100° tan 125° = 1
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tan 100° + tan 125° + tan 100° tan 125° is equal to