ConceptTrigonometric Ratios of Complementary Angles

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#### Question

If A, B and C are interior angles of a triangle ABC, then show that `\sin( \frac{B+C}{2} )=\cos \frac{A}{2}`

#### Solution

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#### Similar questions VIEW ALL

Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.

Without using trigonometric tables evaluate the following:

`(i) sin^2 25º + sin^2 65º `

If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A

If sec 4A = cosec (A− 20°), where 4A is an acute angle, find the value of A.

`\text{Evaluate }\frac{\tan 65^\circ }{\cot 25^\circ}`

#### Reference Material

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