# 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=___________degrees2) If cos2(7x)−sin2(7x)=cos(B),then:B=___________

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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=___________

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Step 2

Given, help_outlineImage Transcriptionclose4 COS X 5 16 3 as cscx0] 1 - cos2x sin x = = 3 2 sin x cos x = 2 x 4 (a) sin 2x = -24 25 4 2cos2x 1 2 2 (b) cos 2x - 1 7 25 -24 25 sin 2x (c) tan 2x = 7 COs 2x -24 7 LO L LO fullscreen
Step 3

Given,

... help_outlineImage Transcriptionclose-3 sin x = 5 4 V1 - sin2x [as x lies in the 3rd quadrant] 5 1 25 COS X= -3 (a) sin 2x 2 sin x cos x = 2 X X 24 25 -4 2 - 1 2cos2x 1 2 (b) cos 2x 7 25 sin 2x 25 tan 2x COS 2x 25. 24 7 fullscreen

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### Trigonometric Ratios 