Math, asked by Anonymous, 1 year ago

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Answered by sahil9055
11
hey .......................this....is......an.....s......
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Answered by siddhartharao77
2

Answer:

1

Step-by-step explanation:

Important Formulas:

(i) tanθ = (1/cotθ)

(ii) sin(90 - θ) = cosθ

(iii) cos(90 - θ) = sinθ

(iv) tan(90 - θ) = cotθ

(v) cosec(90 - θ) = secθ

(vi) cot(90 - θ) = tanθ


Now,

Given:\frac{7cos55}{3sin35}- \frac{4(cos70cosec20)}{3(tan5tan25tan45tan65tan85}

=\frac{7cos55}{3cos(90-35)}-\frac{4cos70*sec(90-20)}{3 tan5*tan85 * tan25*tan65*tan45}

=\frac{7 cos55}{3cos55}-\frac{4cos70*sec70}{3tan5*cot(90 - 85)*tan25 *cot(90 - 65)*tan45 }

=\frac{7}{3}-\frac{4 cos70*\frac{1}{cos70}}{tan5*\frac{1}{tan5}*tan25*\frac{1}{tan25}*1}

=\frac{7}{3}-\frac{4}{3}

=\frac{7-4}{3}

=\frac{3}{3}

=\boxed{1}


Hope it helps!

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