Evaluate sin 36-cos 54-

sin 36 #176; #160; cos 54 #176; #160; =sin( 90 #176; 54 #176; ) #160; #160; cos 54 #176; #160; =cos 54 #176; #160; cos 54 ...

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Standard X

Mathematics

Complementary Trigonometric Ratios

Evaluate sin...

Question

Evaluate
$\frac{sin 36^{\circ}}{cos 54^{\circ}}$

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Solution

$\frac{sin 36 °}{cos 54 °} = \frac{sin (90 ° - 54 °)}{cos 54 °} = \frac{cos 54 °}{cos 54 °} = 1$

Hence, the answer is $1.$

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Evaluatesin36∘cos54∘

sin36°cos54°=sin(90°−54°)cos54°=cos54°cos54°=1Hence, the answer is 1.

Evaluate
$\frac{sin 36^{\circ}}{cos 54^{\circ}}$

$\frac{sin 36 °}{cos 54 °} = \frac{sin (90 ° - 54 °)}{cos 54 °} = \frac{cos 54 °}{cos 54 °} = 1$

Hence, the answer is $1.$