If cosx=4/5,cscx<0,then: sin 2x=_____ cos 2x=_____ tan 2x=_________ f sinx =−3/5, in quadrant III, then: sin 2x=_____ cos 2x=_____ tan 2x=_________ If tan x=−1/3,cosx>0,then: sin (2x)=_____ cos (2x)=_____ tan (2x)=_________ Using a double-angle or half-angle formula to simplify the given expressions. (1) If cos2(37∘)−sin2(37∘)=cos(A∘),then: A=___________degrees 2) If cos2(7x)−sin2(7x)=cos(B),then: B=___________
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
If cosx=4/5,cscx<0,then:
sin 2x=_____ cos 2x=_____ tan 2x=_________
f sinx =−3/5, in quadrant III, then:
sin 2x=_____ cos 2x=_____ tan 2x=_________
If tan x=−1/3,cosx>0,then:
sin (2x)=_____ cos (2x)=_____ tan (2x)=_________
Using a double-
(1) If cos2(37∘)−sin2(37∘)=cos(A∘),then:
A=___________degrees
2) If cos2(7x)−sin2(7x)=cos(B),then:
B=___________
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