cos(180°+ x). tan(360°-x).sin² (90°- x) 2. + sin x 5.1 Determine the value of sin(180° -x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 4E
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5.3.1
Calculate all the values of x for which the expression above is undefined.
2stnx
5.3.2
Prove that
2(1-cos2x)
sinx
Transcribed Image Text:5.3.1 Calculate all the values of x for which the expression above is undefined. 2stnx 5.3.2 Prove that 2(1-cos2x) sinx
Determine the value of
cos(180°+x). tan(360° - x).sin? (90°- x)
5.1
+ sin x
sin(180° -x)
5.2
5.2.1 Prove the identity: cos(A- B) - cos(A+ B) = 2sin A sin B
5.2.2
Hence calculate, without using a calculator, the value of
cos 15°- cos 75°
5.3
Find the value of tan 0, if the distance between A(cos e ; sin 0) and B(6; 7)
is 86.
Transcribed Image Text:Determine the value of cos(180°+x). tan(360° - x).sin? (90°- x) 5.1 + sin x sin(180° -x) 5.2 5.2.1 Prove the identity: cos(A- B) - cos(A+ B) = 2sin A sin B 5.2.2 Hence calculate, without using a calculator, the value of cos 15°- cos 75° 5.3 Find the value of tan 0, if the distance between A(cos e ; sin 0) and B(6; 7) is 86.
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