Simplifying Trigonometric Expressions
Simplifying Trigonometric Expressions
To simplifying trigonometric expressions we should the relationship of the trigonometric ratios in terms of sine and cosine ratios. The steps to be followed are
1. Convert the various trigonometric ratios in terms of sine and cosine ratios.
2. Simplify the brackets using the rules of the BODMAS
3. Rationalise the remainder if required.
Representing Trigonometric ratios in terms of sine and cosine ratio
Illustration: Simplify the expression:
Solution: To simplify this expression we will convert tan A in terms of sin A and cos A
Simplify cot C . tan C | |||
| Right Option : C | |||
| View Explanation | |||
Simplify | |||
| Right Option : A | |||
| View Explanation | |||
Simplify tanA(cosA) + (1--sinA) | |||
| Right Option : C | |||
| View Explanation | |||
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