ConceptTrigonometric Ratios of Complementary Angles

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#### Question

If A, B, C are the interior angles of a triangle ABC, prove that `\tan \frac{B+C}{2}=\cot \frac{A}{2}`

#### Solution

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#### Similar questions VIEW ALL

Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°

Without using trigonometric tables, evaluate the following:

`(\sin ^{2}20^\text{o}+\sin^{2}70^\text{o})/(\cos ^{2}20^\text{o}+\cos ^{2}70^\text{o}}+\frac{\sin (90^\text{o}-\theta )\sin \theta }{\tan \theta }+\frac{\cos (90^\text{o}-\theta )\cos \theta }{\cot \theta }`

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Without using trigonometric tables evaluate the following:

`(i) sin^2 25º + sin^2 65º `

#### Reference Material

Solution for concept: Trigonometric Ratios of Complementary Angles. For the course 8th-10th CBSE