A. What is a simplified form of the expression cos+C poing @sec @cos + sin @cos

Question

A. What is a simplified form of the expression cos+C poing @sec @cos + sin @cos 5. Which of the following are true statements? Select all that apply. (2 points) sin 42° cos 25° +cos 42 sin 25° 2 sin 67 tan 67's tan 7004 tan 3° 1-tan 70°tan 3° cos 67 cos 41° cos 26 + sin 41° sin 26° tan 67- sn 67°-sin 81° cos140 - sin81° cost4 o, tan 23°+tan 44 1- tan 23 tan 44 6. If sin A 0.29, cos A 0.96, sin B-0.42, and cos B-0.91, what is sin(A+ B)? ( p 00.67 1.00 0-0.14 7. Which is the exact value of cos 75P? (2 point 4

Explanation / Answer

1. cos3(x)+cos(x)/(csc2(x))

=cos3(x)+cos(x)*(sin2(x))

taking cos(x) common

=cos(x)*(cos2(x)+sin2(x)) , cos2(x)+sin2(x)=1

=cos(x)

2.sin(67)=sin(42+25)

sin42cos25+cos42sin25 true

tan67=(tan70-tan3)/(1+tan70tan3) correct statement

cos67=cos(41+26)=cos41cos26-sin41sin26 correct statement

tan67=tan(23+44)=(tan23+tan44)/(1-tan23tan44)

3. sin(A+B)=sin(A)cos(B)+cos(A)sin(B)

0.29*0.92+0.96*0.42=0.67 (please correct it , you have fill it wrong)

4. cos(75)=cos(30+45)

=cos30cos45-sin30sin45

=(3/2)(1/2)-((1/2)(1/2)

=(1/2){(3/2)-(1/2)}=(1/22){(3-1}

after multiplying and dividing it 2 ,it can be written as

(6-2)/4; (please correct this also )

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