Express each of the following in terms of trigonometric ratios of angles between $0^{\circ}$ to $45^{\circ} :$
(i) $tan 81^{\circ} + cos 72^{\circ}$

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Solution

We have,
$tan 81^{^{\circ}} + cos 72^{^{\circ}}$
$\Rightarrow tan (90^{0} - 9^{0}) + cos (90^{0} - 18^{0})$
$\Rightarrow cot (9^{0}) + sin (18^{0})$

Hence, this is the answer.

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Express each of the following in terms of trigonometric ratios of angles between 0∘ to 45∘:(i) tan81∘+cos72∘

We have,tan81∘+cos72∘⇒tan(900−90)+cos(900−180)⇒cot(90)+sin(180)Hence, this is the answer.

Express each of the following in terms of trigonometric ratios of angles between $0^{\circ}$ to $45^{\circ} :$
(i) $tan 81^{\circ} + cos 72^{\circ}$

We have,
$tan 81^{^{\circ}} + cos 72^{^{\circ}}$
$\Rightarrow tan (90^{0} - 9^{0}) + cos (90^{0} - 18^{0})$
$\Rightarrow cot (9^{0}) + sin (18^{0})$

Hence, this is the answer.