Question types

Trigonometric Ratios of Complementary Angles question types

29 questions across 3 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

29
Questions
3
Question groups
5
Question types
Sample Questions

Trigonometric Ratios of Complementary Angles questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Prove that:
$\frac{\sin\theta\cos(90^\circ-\theta)\cos\theta}{\sin(90^\circ-\theta)}+\frac{\cos\theta\sin(90^\circ-\theta)\sin\theta}{\cos(90^\circ-\theta)}=1$
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Prove that:$\frac23\text{cosec}^258^\circ-\frac23\cot58^\circ\tan32^\circ\\-\frac52\tan13^\circ\tan37^\circ\tan45^\circ\tan53^\circ\tan77^\circ=-1.$
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