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If in a triangle ABC , right angle at c if tan A=1√3 and tan B=√3 then probe that sinAcosB+casAsinB=1

Posted by Nancy Yadav 5 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Riya Philip 5 years, 2 months ago

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Yogita Ingle 5 years, 2 months ago

Δ ABC is a Right Triangle at ∠C = 90°

To Find:

sin A × cos B + cos A × sin B = ?

Solution:

Δ ABC is a Right Triangle at ∠C = 90° .......Given

Also

Therefore,

∠ A = 30°

Now in ΔABC

.........angle sum Triangle property

substituting the values we get

So the value of

sin A × cos B + cos A × sin B =

Therefore

sin A × cos B + cos A × sin B = 1

1Thank You

ANSWER

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Posted by Hari Anand 5 months, 1 week ago

CBSE > Class 10 > Mathematics