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Relation between Trigonometric Ratios

Evaluate the ...

Question

Evaluate the following

(i) sin60° cos30° + sin30° cos 60°

(ii) 2tan²45° + cos²30° − sin²60°

(iii)

(iv)

(v)

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Solution

(i) sin60° cos30° + sin30° cos 60°

(ii) 2tan²45° + cos²30° − sin²60°

(iii)

(iv)

(v)

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Similar questions

(i) sin 60^{\circ} cos 30^{\circ} + sin 30^{\circ} cos 60^{\circ}

(i i) \frac{5 {cos}^{2} 60^{\circ} + 4 {sec}^{2} 30^{\circ} - {tan}^{2} 45^{\circ}}{{sin}^{2} 30^{\circ} + {cos}^{2} 30^{\circ}}

Q. Evaluate the following
(i)

s i n 60^{\circ} c o s 30^{\circ} + s i n 30^{\circ} c o s 60^{\circ}

\frac{c o s 45^{\circ}}{s e c 30^{\circ} + c o s e c 30^{\circ}}

Q. Verify each of the following:
(i) sin 60° cos 30° − cos 60° sin 30° = sin 30°
(ii) cos 60° cos 30° + sin 60° sin 30° = cos 30°
(iii) 2 sin 30° cos 30° = sin 60°
(iv) 2 sin 45° cos 45° = sin 90°

Evaluate: $\frac{sin 30^{\circ} + tan 45^{\circ} - cosec 60^{\circ}}{sec 30^{\circ} + cos 60^{\circ} + cot 45^{\circ}}$

Q. The value of

{sin}^{2} 60^{\circ} . {cos}^{2} 30^{\circ} + tan 45^{\circ} . cos 60^{\circ} sin 30^{\circ}

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