Prove : sina+tana/tana=1+cosa

asked Jan 1, 2023 38.8k views

20 votes

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9 votes

Answer:

See below

Explanation:

$(sin\alpha+tan\alpha)/(tan\alpha)$

$(sin\alpha)/(tan\alpha)+(tan\alpha)/(tan\alpha)$

$(sin\alpha)/(tan\alpha)+1$

$(sin\alpha)/((sin\alpha)/(cos\alpha))+1$

$((sin\alpha)/(1)*(cos\alpha)/(sin\alpha))+1$

$cos\alpha+1$

Hence,
$(sin\alpha+tan\alpha)/(tan\alpha)=1+cos\alpha$

Chefjuanpi answered Jan 6, 2023

2.9k points

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