Question

tan tetha=4/3 prove √1-sin/√1+sin + √1+ sin/√1-sin = 10/3​

Answer 1

Answer:

1/9

Step-by-step explanation:

Tan∅ = Opposite / Adjacent Side

Tan∅ = 4/5

SUBSTITUTE THIS IN A TRIANGLE

By using Pythagoras theorem,

AC²=AB²+BC²

AC²=4²+3²

AC²=16+9

AC²=25

AC=5

NOW,

sin∅  =  Opposite Side / Hypotenuse

        = 4/5

Therefore,

1-sin∅ / 1+sin∅

= 1 - 4/3 / 1 + 4/3

= 1/9

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