Page 26 - 10-Math-7 INTRODUCTION TO TRIGONOMETRY
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Exercise 7.4
In Problems 1−6, simplify each expression to a single trigonometric
function.
1. sin2x 2. tanx sinx secx 3. tanx
cos2x secx
4. 1 − cos2x 5. sec2x − 1 6. sin2x . cot2x.
In problems 7-24, verify the identities.
7. (1- sinq)(1+ sinq) = cos2q 8. sin q + cos q = 1 + tan q
9. (tanq + cotq)tanq = sec2q cos q
10. (cotq + cosecq)(tanq - sinq) = secq - cosq
11. sin q + cos q = cos2q 12.
tan2q - 1
sinq - cosq
13. (secq - cosq) = tanq sinq
14.
15. tanq + cotq) = secq cosecq
16. (tan q + cot q) (cos q + sin q) = sec q + cosec q
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