Hard - Trigonometric function

GAVREED2

Help me solve this question. Can't seem to grasp the formula

4)Given that sin 55degrees = 0.819 and cos20degrees = 0.94,
show how you would use the identities for sin(A+B) and cos(A+B) to find the following:
a) sin 75degrees
b) cos 35 degrees
c) tan 35 degrees
Showing the steps you would follow. NOTE: sin^2theta+cos^2theta=1

harish21

Help me solve this question. Can't seem to grasp the formula

4)Given that sin 55degrees = 0.819 and cos20degrees = 0.94,
show how you would use the identities for sin(A+B) and cos(A+B) to find the following:
a) sin 75degrees
b) cos 35 degrees
c) tan 35 degrees
Showing the steps you would follow. NOTE: sin^2theta+cos^2theta=1
sin(A+B) = sinAcosB+cosAsinB

so sin75=sin(55+20)=sin55.cos20+cos55.sin20

cos(A-B) = cosA.cosB+sinA.sinB

so cos35= cos(55-20)=cos55.cos20+sin55.sin20

GAVREED2

Thanks

Thanks for your help again.....Just wondering how you find c) Tan

sin(A+B) = sinAcosB+cosAsinB

so sin75=sin(55+20)=sin55.cos20+cos55.sin20

cos(A-B) = cosA.cosB+sinA.sinB

so cos35= cos(55-20)=cos55.cos20+sin55.sin20

harish21

Thanks for your help again.....Just wondering how you find c) Tan
$$\displaystyle tan(A-B)=\frac{sin(A-B)}{cos(A-B)}$$

or

$$\displaystyle tan(A-B) = \frac{tanA-tanB}{1+tanA.tanB}$$

GAVREED2

GAVREED2

Thanks mate! Ur a lifesaver