What is the value of sin(70)cos(20)+cos(70)sin(20) ?

The value of sin(70)cos(20)+cos(70)sin(20) is 1

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sin(70)cos(20)+cos(70)sin(20)

sin (7 0^{\circ}) cos (2 0^{\circ}) + cos (7 0^{\circ}) sin (2 0^{\circ})

1

Solution steps

sin (7 0^{\circ}) cos (2 0^{\circ}) + cos (7 0^{\circ}) sin (2 0^{\circ})

Rewrite using trig identities:

sin (9 0^{\circ})

= sin (9 0^{\circ})

Use the following trivial identity:

sin (9 0^{\circ}) = 1

= 1

cos (2 arcsin (\frac{2}{2}))

arctan (\frac{8}{4.9})

cos (68 6^{\circ}) \cdot sec (3 4^{\circ}) + cos (1 8^{\circ}) \cdot sin (- 7 2^{\circ})

tan (- 72 0^{\circ})

arctan (10000)

What is the value of sin(70)cos(20)+cos(70)sin(20) ?
The value of sin(70)cos(20)+cos(70)sin(20) is 1