Question

If 3 Sin A - 4 Cos A = 0. then the value of tan A =
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Answer 1

Answer:

Step-by-step explanation:

solution

3sinФ - 4cosФ=0

3sinФ=4cosФ

⇒ sinФ/cosФ=4/3

⇒ tanФ=4/3

⇒ tanФ=4/3

then the value of

tanФ=4/3

for 1 + tan²Ф=sec²Ф

⇒ 1 + 4/3=sec²Ф

⇒√ (3+4)/3=secФ

⇒ secФ=√7/3

for cosec²Ф=cot²Ф+1

⇒cosec²Ф=3/4+1

cosecФ=√7/4

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Answer 2

--> 3Sin A - 4Cos A = 0

--> 3Sin A = 4Cos A

--> tan A = Sin A / Cos A = 4/3