Share

# Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Cot 85° + Cos 75° - CBSE Class 10 - Mathematics

ConceptTrigonometric Ratios of Some Specific Angles

#### Question

Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cot 85° + cos 75°

#### Solution

We know that cot (90^@ - theta) = tan theta and cos (90^@ - theta) = sin theta so

cot 85° + cos 75° = cot(90^@ - 5^@) + cos(90^@ - 15^@)

= tan 5^@  +sin 15^@

Thus the desired expression is tan 56^@ + sin 15^@

Is there an error in this question or solution?

#### APPEARS IN

Solution Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Cot 85° + Cos 75° Concept: Trigonometric Ratios of Some Specific Angles.
S