In this worksheet, we will practice using addition formulas to simplify trigonometric expressions.

**Q3: **

Find given and where and are acute angles.

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**Q4: **

Find , given where and where .

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**Q5: **

Find , given and where and are acute angles.

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**Q6: **

Given that , where and , where , determine .

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**Q7: **

Given that , where , and , where , determine .

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**Q8: **

Find given and where and are two positive acute angles.

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**Q9: **

Find without using a calculator given and where and are acute angles.

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**Q10: **

Given that , where , and , where , find .

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**Q11: **

Find given where and where .

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**Q12: **

Find given and where and are acute angles.

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**Q13: **

Find given where and where .

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**Q14: **

Given that , where , and , where , find the exact value of .

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**Q15: **

Given that , where , and , where , find the exact value of .

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**Q16: **

Given that , where , and , where , find the exact value of .

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**Q17: **

Given that , where , and , where , find the exact value of .

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**Q18: **

Simplify .

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**Q19: **

Using the relation , find an expression for in terms of and which holds when .

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